Tuesday, January 2, 2018

How to Simplify Radicals

If you want to learn how to simplify radicals, you should know how you can convert the expression with the rational exponents, how to convert expression using rational exponents to the radical equivalent, using of the exponents law in order to simplify the expression with the rational exponents  or using rational exponents in order to simply radical expression.
Most of the time, the square root has to be written by using a radical sign. However, it can also be represented by using its root. You may use the rational exponents and not the radical. The rational exponent is the exponent used as a fraction. The example is instead of writing the root of 4, it will be written 41/2.

You may have to get used to raising the rational exponents; however, the rational exponents may help in simplifying the problem.  You should be aware of which relationship found between radicals, exponents and fractional.

Fractional and radical exponents are the alternative way that someone can use to express something.  You may have seen how square roots may be expressed as exponents at the power of just one half.

When it is cube roots, then the cubing of the number, it will raise the power up to three.   The exponent is used to refer to the quantity which is found at the left if the grouping of the symbol was used.  Like you may write the expression using the rational exponent with the radical expression, it is possible to express the radical expression by the use of the rational exponents.

The rational exponents using a numerator which is different to one: All the numerators for the fractional exponents, a person may use the fractional exponents which have the numerator which is not 1 in order to express the roots.

In order to write the radical by the use of the fractional exponents, power at which the radical had been raised, it will become the numerator, and the root will become the denominator.

The rational exponents have been subjected to same rules as it happens with other exponents and they do appear in their algebraic expression.  The simplification method can give different results according to which context of a problem.  It will be easier in using one method and not the other.  It is possible to simplify the expression faster by the use of the rational exponents compared to the pull out method.

Another alternative method is working on simplifying the radical using the factoring.   For a complicated expression of two variables, the racial and the fraction, it is good to know the steps to use when it comes to fractional exponents, and it may help the user to simplify it more.  Depending on the type of questions, the user will use negative exponents, fractional exponents and the rule of the exponents so that they may simplify the entire expression.

Rewriting radicals by using fractional exponents, it may be useful in simplifying the radical expression.  While working with the fractional exponents, you should remember that fractional exponents are subjected to the same rules like other exponents if they appear in the Algebraic expression. 

Sunday, December 10, 2017

Why Students Should Use Radical Calculator

A radical calculator is a tool which can be used in order to find the nth root of a given number. The n value may be a negative or a positive integer, or it may be decimal.
If the students are looking to get a square root of a certain number, they will do this manually, and they are going to get the square root of a certain number.  Another option is that the students may turn to the calculator and they can get the square root there.   The regular calculator may be used by students only in order to find the square root of the number, and this is the 2nd root. When the students are looking on to get the cube root of or the 4th of the power of a base, they will not be able to do with the normal calculator.
When the person is looking the base of the fraction such as 3/4, it can be difficult in finding that value using a regular calculator or manually. The students should apply the logarithm so that they may get the value of one where the power of the base is 3/4.  When the students choose to use the logarithm, it can take longer in order to get the results where the power will be 3/4.
Radical Calculator
Radical Calculator

If the students are doing long problems in the math, they would have to take a long period in concentrating on how they can get the idea in solving the problem.  Sometime, they should get the value of which the power itself is the fraction. When it comes to solving lengthy problems by doing above work like the part of the problem, it will be annoying.  In this case, the student may turn to the radical calculator found online in order to get the n root of the number and here the n is a negative and positive integer and sometimes it can be decimal.
If someone wants to solve the word problem with math, the first step is to know how such problem should be solved.  In certain situation, the students may have to find nth root of the number. When thinking about how they should solve such questions, they may not be willing to spend too much time working on these problems alone.

If there is a need to find the n root, then students will make a mistake if they are not careful about how they find such root. To avoid the problems, it is good for the student to use the radical calculator that has been programmed in order to get n and to continue in order to get the complete solution. Through the use of the online calculator, the student can find the way of solving the problem much easier. 

The radical topic is given on the school level math, and they should solve too many problems on this topic.  Sometime the students may do an exercise, but they may not be aware if the questions they got are correct or not. This is the time that radical online calculator can be used in order to verify the answer. 

Sunday, November 26, 2017

The Rules of Working with Fractions

During the elementary years, one of thing that students should learn about is multiplying fractions. Even if the work at this level is more about dividing, multiplying, subtracting and adding with fraction, it is important in math learning.  Even if working with fraction can be somehow complicated and difficult, it is worth it while creating the math activities that make the learning easy and fun.

When it comes to working with fraction, there are some few rules that someone should keep in mind.
Subtract and add using the same denominators
-        Subtract and add numerators and use one denominator.
Add or subtract fraction using different denominator
-       You can find the common denominator through taking least common multiple for the denominator and through multiplying the denominator.
-       You can convert the fraction by dividing common denominator  and by multiplying the results by  numerator
-       Subtract and add the rule and add the fraction to the same denominator.
Multiply the fraction
-       You can multiply the denominators by the numerators
-       The product of numerators over product of denominators, it will result in the fraction
-       You can simplify resulting fraction when both denominator and numerator are visible  by just one number.

Dividing by the fraction
-       You can multiply the first  numerator by using the fraction of the second denominator for the new numerator
-       You should multiply the second numerator with the fraction numerator for the first denominator of new numerator
-       Multiply the second numerator of faction by using the first fraction denominator and getting the new denominator.
-       When the resulted fraction comes with the numerator which is greater compared to the denominator, you have to divide the numerator by using the denominator so that you may get the mixed number.

Creating of equivalent fraction
-       You should multiply both denominator and numerator using the same number
Convert the mixed number into a faction
-       You should multiply the entire number part using a denominator
-       Add the numerator in order to get  a numerator
-       Use the same denominator as a fraction part of a mixed number 
Convert improper fraction into the mixed number
-       Divide a numerator using a denominator in order to get a part of a whole number
-       The remainder is going to be a numerator to the fractional part
-       The denominator is same as improper fraction denominator

Simplify the fractions
-       You should find greatest common divisor of denominator and numerator
-       You can device both denominator and numerator using greatest common divisor.
If you want to teach your child more about multiplying fractions, you can use available materials to do so.

-       Using the dominoes: you can let the child pick tiles randomly so that she can learn about having different nominators and denominators.  You may also use different cards to teach him about different operations.   You can find more innovative ways to use so that your child can learn more about fraction in a fun way. 

You can also visit different online websites where you can learn more about how to teach math to your child. 

Thursday, November 9, 2017

All about Factorization

It is always better to start from scratch and know how the process in-built together and incorporated at places than to start working and return back to the basics.

What does the term Factorization mean?
It is the process of finding out factors of a polynomial or any equation. It is moreover like splitting of a complex term into two other numbers whose multiplication product if equal to the main term.
It can also be defined as the decomposition of a mathematical equation and is not necessarily applicable to polynomials, but also for Matrices and numbers

Why should one Factorize?
The main objective of factorizing is to reduce the complexity of the problem. The end results of Factorizing are something which cannot be further divided, thus breaking the equation to its simpler form.
The factorizing terms in their form can further be multiplied again to retain the original equations. This is also known as the expansion of polynomials. It is the best way to verify the solutions obtained after the factorizing process.


When should we Factorize?
Before moving on to factorization let us have a look at the factor theorem:

The factor theorem states that when a polynomial f(x) has a factor that is (x-k), it is only when f(x)=0
This means that the value of k that is obtained is a root of the polynomial.

Other uses of the Factor theorem are:
The factor theorem is used to remove known zeros from a polynomial while leaving all unknown zeros fixed, thus producing a lower degree polynomial whose zeros are easier to solve.
The method is:
1.    Use the factor theorem to conclude that the term (x-a) is a factor of f(x).
2.    Solve the polynomial g(x) =f(x)/f(x-a), for example using Long Division method of Polynomials or Synthetic Division method.
3.    Say that any root x is not equal to an of f(x) =0 is a root of g(x)=0.
4.    Since the polynomial degree of g is one less than that of the degree of f, it is "simpler" to find the remaining zeros.

Few Common Methods of Factorization
Listed below are the few commonly used methods for factorization:
Let us have a quick look at them

1. Highest Common Factor
The highest common factor of algebraic expressions is useful in factorization; and it is the product of the common prime factors, which includes both common numerical and algebraic factors.

2. Using the Common factor
ab+bc= b(a+c)

3. Using the Difference of the square formula
a^2-b^2= (a+b)(a-b)
By using the above method, you can easily find the factors of a number.

Real Life applications of Factorization

Commonly used in finance and accounting where the present value of the assets are determined and for stock evaluation. Its uses are also traced in bond trading and calculations.

Numerical Analysis
For complex and high ordered equations in derivations and formulae method of factorization is needed to reduce the complexity of the problem, thus getting a valid solution or a better and simpler form of the equation. Also, high tech algorithms use the basics of Factorizing.

Quadratic equations

Integration sums and wave equations always end up unexpectedly in a quadratic form and then the only factorization can reach for your help. It is also widely used for solving numerical and calculation unknown values when in higher than or equal to 2nd order format.

Saturday, October 21, 2017

Solve Quickly any Parabola Equation via Online Math Software

Mathematics is an interesting subject, but not for all. Those who are weak in mathematics find it difficult to pass the examination. And as the level goes up topics become challenging, and students look for different options to take help. They seek help from tutors, online tutorials, reference books, etc. to get the answer to the challenging and tricky questions. Not every book contains the good explanation of the question and that to be step by step. Some books give the only short explanation of question which is not sufficient to understand the solution. Keeping this in mind online math solver software developed to help and guide students in mathematics. The software can solve any equations like quadratic, polynomial, parabola, etc.

Students can get help from this software, they are online, and there is no need to download any pdf or video to watch the solution. Some software gives solutions of any specific problems like the parabola or any other. Using them will not help you in solving other topics; hence you must use one who can assist you on every topic. Step by step description of any question is given, and students can note it down to practice such type of questions.
For example, you are solving a quadratic equation, and you are not getting the values of variables. With the help of math solver, you will not only get the values, but it will also plot a parabola graph with the accurate focus, vertex, and directrix. Parabola is a symmetrical curve of U-shape, every point that lies on the parabola is at equal distance from the focus and directrix. The curve corresponds to a quadratic equation. The point from where parabola makes a turn is called as the vertex. It lies between focus and directrix.

How to use the calculator for solving parabola equation?
It’s simple, just follow the steps.
        Open the online math software
        You will see a calculator just like regular calculator
        Enter the parabola equation in the box.
        Click on simplify button
        You will see step by step solution
        Click on steps to get the detailed explanation

Although the description is given in simple steps, if you want to learn from the experts then watch the online video. There the expert teachers will teach you in the best way. This software is free to use, and you can use it without any difficulty. However, you may have to register on the site so that they can help you more efficiently. Once you registrar you quickly use the rest of the services. You may not get an explanation of entire solution until you register, hence to see the full description first register.

Many such online types of software are there to help the students, but not all provide you the correct answer. Hence comparison is a must. So before using any such software to solve tricky equations like parabola must compare the accuracy of the solution. To make you understand many examples of similar questions are given on the software, refer them to solve the one in which you are getting the problem.

Wednesday, October 18, 2017

Is multiplying fractions is your problem? Use online software

Many students get stuck in between while solving an equation that contains fractions. Those who are new to this concept will face the problem, but with practice, they can master it. However, after learning so hard many students still experience difficulties in multiplying fractions. Multiplying fraction is simple than addition or subtraction. But still few are not able to solve them, and the only reason is that their concepts are not clear. By learning the basic idea, anyone can answer any tricky question with ease.

While solving the equation, you may have to multiply mixed or whole numbers. Multiplication is simpler because unlike addition or subtraction you don’t have to get the lowest denominator that is common in both fraction values. By following four simple steps, you can multiply fraction easily.

Steps to multiply fractions-
        Convert mixed number into improper fraction
        Simplify by canceling the terms
        Multiply numerator and denominator values
        Again convert back the improper fraction into a mixed number.
Young learners should remember the above steps for multiplying fractions. If you still don’t understand how to apply these steps then watch the videos on the internet. Get step by step explanation from the video along with an example. You can also take help from the software that is only designed to solve tricky mathematics question. The simple description along with easy to hard examples is explained. The software gives the Quick solution, easy description, an alternative method to solve the question. They are accommodating during the examination because that time you need a quick solution. So, rather than searching the problem in the book, get the answer online within few minutes.

Math is fun and to make the student understand this software give an easy explanation. No matter how tricky the question is, you will get an accurate answer. From the simple calculation of addition and subtraction, solving algebra, multiplying fractions, etc., there is nothing that it can't-do. Students of any age, any class can use them and learn mathematics topic with ease and fun. At the site you will get the list of different topics, select according to your choice and learn the basics of the topic. It will provide the solution of the word problems also. Just enter your email, then question and get the answer.

Multiplying fractions was never that tough and with the help of online software for math students can take their learning to the next level. They will not only excel in school exams but also in other competitive exams. The way they teach is very effective, and you will never forget the basics. Because basic is the foundation and if you know the basic of multiplying fractions then you can solve difficult questions very quickly.

        You can get solution of any problem from your textbook
        Ask if you don’t understand any step
        Watch the answers online through video classes
        Get 1000 of problems with solution to know in how many ways question can be asked
        Solve word problems of any type for example coin, mixture, age, etc
        Learn multiplying fractions
By using online math software, you can improve your mathematical skills and get the good knowledge of the concept.

Wednesday, October 4, 2017

Why Solving Algebra Equation can be Hard for Some Students

It is not easy to learn algebra even of the students who are the bright. Most of the time, the students regardless of which level they are on, they will want to review the algebra concepts while preparing to get advanced courses like calculus.  Algebra is also an integral part in doing some standardized test such GRE.  When it is about the algebra and pre-algebra, solving the unknown factor can turn to be intimidating for the students who have been used to perform the straightforward operation.  The complex happens when there will be confusing symbols that can seem to be a foreign language.  However, when the students get to understand more about the algebra equation language, they will succeed in doing algebra.  It is good to build the understanding from the start, and the student will stop to see algebra like the system of the arbitrary rules, but as a language, they are able to understand. Algebra does not have to be a cause of the frustration, and when the right tools are used, the student may learn more on how they may approach an equation and to solve it in the correct manner.
Algebra Equation
Algebra Equation

When a student struggles with algebra, it is good to evaluate his learning problems and to know the best way that she can learn. You have to know also the obstacles that interfere with the performance, if it is a lack of the attention in the class or if it is a trouble to get the help. It can also be a poor grasp of the basic concept or the need to get visual learning tools.

Since algebra or pre-algebra will lay the foundation to understand the advanced math course, it is important that every student understand the concept.  All the algebra equations depend on the previous rules. If the students have some holes in the understanding algebra, they may have a hole in how they understand the entire subject.  When students fail to understand something, they will end up assuming that the entire process is hard and they will resist learning more in the future.   When a student performs badly or answers wrongly, then he may suffer a chronic under performance because he will lose self-esteem.

The students may also fail because their teacher does not have the right materials or the right skills. Sometime the students may also be embarrassed in asking the teacher about what he had taught.  If the student is liberated away from the classroom pressure, they will start to find that math is easy and they will learn better.

Getting the help in math; helps to fill the gaps to ensure that the comprehension will fall in the place naturally.  You should get the teacher who has experience in explaining the even difficult concept using simple language. The students should have a comfortable environment where he will not feel embarrassed.  The algebra equation has to be presented in logical and organized manner. The best tutor or educator will supplement the learning using colorful diagrams and graphics.