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Question

Find the cube root by prime factorization of 110592


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Solution

Find the cube root of given number using prime factorisation

Given, 110592

2110592255296227648213824269122345621728286424322216210825432739331110592=212·33110592=(24·3)3110592=4831105923=48

Therefore, the cube root of 110592 is 48


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