Question

find the smallest number by which each of the following number must be multiplied to obtain a perfect cube: a)1323,b)968 i want step by step not direct answer​

Answer 1

Answer:

a) 7

b) 11

Step-by-step explanation:

The number given is 1323. In order to find the smallest number to get a perfect cube we first need to factorize it.

⇒1323=

3×3×3

×

7×7

Since we need to find the cube root we group them in groups of three.

We need one 7 in order to complete the group.

Therefore the ans is 7.

968=2×2×2×11×11

Since,11 does not occur in triplets

So, 11 should be multiplied with

968 to make it a perfect cube

Hence the number is 11.