Find the square root of 9216 by prime factorization method.
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Square root of 9216 by Prime Factorization :-
STEP I → Take out prime factorization of 9216.
LCM of 9216 = 2×2×2×3×3×13
STEP II → While finding the square root of 9216 we found that the numbers 2 and 13 does not have pairs, so we will multiply them and then divide by 9216:-
∴ Square root = 2×13
= 26
Thus, 26 ÷ 9216 = 1036 which is a perfect square.
∴ Square root of 9216 is 1036.
Step-by-step explanation:
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