Question

Evaluate the expression

The square root of 9/225

A.25
B.9/15
C.3/15
D.3/225

Answer 1

the answer is 3/15

Explanation:

the square root of 9 is 3 and the square root of 225 is 15

Answer 2

C. 3/15

Explanation:

Given expression,

`\sqrt{(9)/(225)}`

`=(√(9))/(√(225))`

`=((3^2)^(1)/(2))/((15^2)^(1)/(2))`

`=\frac{3^{2* (1)/(2)}}{15^{2* (1)/(2)}}`

`(\because (a^m)^n=a^(mn))`

`=(3^1)/(15^1)`

`=(3)/(15)`

Hence, OPTION C is correct.