Question

Evaluate the expression
The square root of 9/225

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

Answer 1

Answer:

the answer is 3/15

Step-by-step explanation:

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

Answer 2

Answer:

C. 3/15

Step-by-step explanation:

Given expression,

$\sqrt{\frac{9}{225}}$

$=\frac{\sqrt{9}}{\sqrt{225}}$

$=\frac{(3^2)^\frac{1}{2}}{(15^2)^\frac{1}{2}}$

$=\frac{3^{2\times \frac{1}{2}}}{15^{2\times \frac{1}{2}}}$

$(\because (a^m)^n=a^{mn})$

$=\frac{3^1}{15^1}$

$=\frac{3}{15}$

Hence, OPTION C is correct.