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# Find the cube root of each of the following numbers by prime factorisation method.(viii) 46656

Q.1 Find the cube root of each of the following numbers by prime factorisation method.

(viii) 46656

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The detailed solution for the above-written question is as follows

By prime factorization, we get :

$46656 = 2\times2\times2\times2\times2\times2\times3\times3\times3\times3\times3\times3$

So its cube root is $2\times2\times3\times3$   =   36.

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