Square Root

 Square Root

       A square root of a number is a value that, when multiplied by itself , gives the number .

√a²=√a*a = a  (a² = a*a)

Note

a² = -a * -a (since - * - = +)

so, 

√a²=√-a*-a = -a

Hence,

√a²= a or -a

Example

1) Find a square root of 25 or find √25

25 = 5* 5  or  25 = -5 * -5

√25 = √5*5 = 5

or 

√25 = √-5*-5 = -5

hence, √25 = 5 or -5

2) Find a square root of 9 or √9

9 = 3*3 or 9 = -3 * -3

√9 = √3*3 = 3

or 

√9 = √-3*-3 = -3

3) find the square root for 576

 

 

√ 576 = 24 or -24