**A square root** of a number *a* is a number *y* such that *x*^{2} = *a*, in other words, a number *x* whose *Square *and 2 is Power of x.

For example,

81 = 9 x 9 = (-9) x (-9), where 9 and (-9) are square roots of 81.

Every positive real numbers *x* has a unique non-negative square root, called the *principal square root*, which is denoted by √*x*, where

square root sign

√ is called the *radix*.

For example, the principal square root of 81 is 9, denoted √81 = 9, because 9^{2} = 9 × 9 = 81 and 9 is non-negative.

Every positive number *x* has two square roots: √*x*, which is positive, and −√*x*, which is negative. Together, these two roots are denoted ± √*a*.

Also refer:

Square Root – 9th std

Sqaure root – 8th std

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