Question

Find cube root of 15625 by prime factorisation method.

Answer 1

Answer:

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

By prime factorization:

15625 = 5\times5\times5\times5\times5\times5

So its cube root is 25.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

prime factorisation of cube root 15625=(5*5*5*5*5*5)^1/3

=(5^1+1+1+1+1+1)^1/3

=(5^6)^1/3

=5^2

=25