Find the square root of 9216 by using the method of prime factorization.

Given: The number is 9216

To do: Find sq root of the given number by using prime factorization

Solution:

$9216= 2\times 2 \times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$

$9216 = 2^10\times 3^2$

So for square root powers will become half, so square root of $9216$ is $2^5\times 3^1$ 

= $32\times3$

=96

Therefore, the sq root of  9126 is 96