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

(viii) 46656


(viii) By prime factorisation, we have


(viii) By prime factorisation, we have46656  = 2 x 2 x 2 x 2 x 2 x 2

46656  = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3

∴   cube root of 46656 space equals space2 x 2 x 3 x 3 = 36

Thus, the cube root of 46656 is 32






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