simplifying square roots calculator

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In the field of mathematics the square root of a number a is a number y such that y2 = a, or, in other words, a number y whose square (the result of multiplying the number by itself, or y × y) is a. For example, the numbers 4 and −4 are square roots of 16 because 42 = (−4)2 = 16. Every non-negative real number a will also have a unique non-negative square root. That is called the “principal square root”, which is denoted as\scriptstyle \sqrt{a}, where √ is known as the radical signor “radix”. The term whose root is being considered is called the radicand.


The simplify square roots calculator tool can be used to solve and   evaluate different kinds of situations involving calculation of square roots of a number.



Example 1.

Find the square root of 64

Solution:

First we find out all the factors of 64

64 = 1 × 64

64 = 2 × 32

64 = 4 × 16

68 = 8 × 8

The equal factor is 8, so the square root of 64 is 8.

Therefore the square root of 64 is 8.

In this particular example, the square was equal to a whole number.

Please note that we do not always get the square root as a whole number
 


Example 2.

Find the square root of 225

Solution:

225 is quite a large number.

We follow the similar steps of the first problem to solve this problem too.

To solve this particular problem, we first calculate all the factors of the number 225.

225 = 5 x 45

225 = 5 x 5 x 9

225 = 25 x 9

225 = 15 x 15

When we have a look at all the factors, we find that the equal factor is 15. The means when we multiply 15 with 15, we get 225.

So, we can say that the square root of the number 225 is the number 15.




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