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Question

Find the square root of 9216 by the Prime Factorisation method.


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Solution

Step 1: Determine the prime factors of the given number

Given number: 9216.

Factorize the given number.

2921624608223042115225762288214427223621839331

Thus, 9216=2×2×2×2×2×2×2×2×2×2×3×3.

Step 2: Calculate the square root of the given number

9216=2×2×2×2×2×2×2×2×2×2×3×39216=22×22×22×22×22×329216=2×2×2×2×2×329216=9629216=96

Therefore, the square root of the 9216 is 96.


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