Find the square root of 4356. | vedclass

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Question

(C) To find the square root of $4356$,we perform prime factorization:$4356 = 2 	imes 2178$$2178 = 2 	imes 1089$$1089 = 3 	imes 363$$363 = 3 	imes

Vedclass · Accepted Answer

$66$

Vedclass · Answer

(C) To find the square root of $4356$,we perform prime factorization:$4356 = 2 	imes 2178$$2178 = 2 	imes 1089$$1089 = 3 	imes 363$$363 = 3 	imes 121$$121 = 11 	imes 11$Thus,the prime factorization is $4356 = 2^2 	imes 3^2 	imes 11^2$.Taking the square root of both sides:$\sqrt{4356} = \sqrt{2^2 	imes 3^2 	imes 11^2}$$\sqrt{4356} = 2 	imes 3 	imes 11$$\sqrt{4356} = 66$Therefore,the correct option is $C$.

Find the square root of $4356$.

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