Question

Find the smallest number by which the number 225 should be multiplied to obtain a perfect cube​

Answer 1

Expressing 225 into product or prime factors, we have

225 = 5 × 5 × 3 × 3

= ( 5 × 5 ) × ( 3 × 3 )

We note that the prime factor 5 and 3 occurs twice only. Therefore, the smallest number by which the given number must be multiplied so that the product is a perfect cube is 5 × 3 i.e. 15.

Answer 2

Step-by-step explanation:

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