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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
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