Question

Q1) Find the smallest number by which 972 must be multiplied to
obtain a perfect cube.

Answer 1

Answer:

Firstly we find the Cube root of 972:

973=2*2*3*3*3*3*3

Means that pair of three numbers is required ,but in the given factors of 972 would not have complete pair of 2 and 3.

So,2*3=6

Hence,If we multiply 6 from 972 gives = 5832 ,which is a perfect cube.

Hence 6 is the smallest number by which 972 must be multiplied to obtain a perfect cube.

Answer 2

Step-by-step explanation:

972 will divide by 4, so 972 divided by 4 is 243 and that will become 2 squared for the 4 and 243 is a power of 5 or 3 robin 3 power 5.