Question

Find the snallesr number bywhich each of the following must be multiplied to make it a perfect cube. Q 3072

Answer 1

Answer:36

by prime factorisation

3072=2*2*2*2*2*2*2*2*2*2*3

by grouping, (2*2*2) (2*2*2) (2*2*2) *2*3

In order to complete them we need 2*2*3*3

by multiplying 2*2*3*3 = 36

Thus, the smallest number which should be multiplied to 3072 to make it a perfect cube is 36

Thank you