Question

find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube :

1. 72

2. 675

Answer 1

1) 72

72 when divided by 2 gives 36 which is a perfect square of 6 .Hence required smallest number is 2

2)675

675 when divided by 3 gives 225 which is a perfect square of 15 .Hence required smallest number is 3