Square Root Simplifier

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It is significant to try to make simpler the square root of an expression contain additional square root. we give rules for doing this when it is possible. The square root of an term contain nth roots is too measured briefly. This item, in addition to treat a exact mathematical subject, shows some of the steps that developers should take when writing computer algebra systems.

The “simplified form” for a square root of a constructive digit is in “simplest form” if the “radicand” have no perfect square factor other than one.

Square Root Simplifier:

The process of square root simplifier is explained below:

The square root of 25 can be written as either `root(2)(25)` or just `sqrt(25)` . The square root symbol `sqrt(x)` is called the radical and the number within the radical is called the radicand.

The little 2 in `root(2)(25)` is called the index. It indicate that can make simpler perfect squares.

Square root simplifier requires:

significant how to factor numbers;

significant what numbers ...
... are already perfect squares, like 4, 9, 16, 25; and

significant what makes a perfect square: a number multiplied by itself.

So, 9 is perfect square because it is 3 • 3.

Likewise, 81 is perfect square because it is 9 • 9.

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Examples of Square Root Simplifier:

`sqrt(24)` can move it one of two ways:

Method 1:

we can believe that 24 have a lot of factors, such as 5, 6, 7, 8, 9 and 12, except just one of them is a perfect square factor: 9

we can alter `sqrt(24)` as `sqrt(4.6)` . we are able to make simpler only the square root that have the perfect square in it: `sqrt(4)` = 2

So, `sqrt(4)` · `sqrt(6)` = 2 · `sqrt(6)`

Method 2:

Locate the prime factorization of the digit 24 = 2 · 2 · 2 · 3 even though there are three 2’s, we need only two of them to make a perfect square: 2 · 2 = 4 The rest of the factors multiply to 6 so we again get 24 = 4 · 6

`sqrt(24)` = `sqrt(4*6)` = `sqrt(4)` `sqrt(6)` = 2`sqrt(6)`

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