Question

What is the square root of 576/9?
(a) 4
(b) 8
(c) 12
(d) 16

Answer 1

576/9=64
$\sqrt{64 } = 8$

Answer 2

We have to find ${\sqrt{\frac{576}{9}}}$.

First we will do prime factorization of 576 and then of 9.

576 = 2 ×2×2×2×2×2×3×3

9 = 3 × 3

→$\sqrt{576}=\sqrt{ 2 \times 2\times 2\times 2\times 2\times 2\times 3\times 3}= 2\times 2\times 2\times 3=  4\times 6= 24$

→√9 =$\sqrt{3\times 3}=3$

So, ${\sqrt{\frac{576}{9}}}=\frac{24}{3}=8$

Option (B) 8 is correct answer.