Question

Find the smallest number by which 12500 must be multiplied so that the product is a perfect cube

Answer 1

Hello Dear!!!

Here's your answer....

12500

Firstly.... we have to do prime factorization...

12500 = 2^2 × 5^5

12500 = 2^2 × 5^2 × 5^2 × 5

The power of 2 and 5 is 2...

But one 5 is left with power 1.

So.... if you multiply with 5... Then power becomes 2..

Then it can be perfect square...

so... it should be multiplied with 5....


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Hope this helps you....