Question

Find the least no. By which 5488 should be multiplied to make it a perfect cube .also find the cube root of perfect cube

Answer 1

The no. must be multiplied by 4.
Cube root is 28

Answer 2

to obtain this first we have to factories the given number

5488 = 2× 2744
= 2 ×2 × 1372
= 2×2×2×2×7×7×7

= 7^3 × 2^3 ×2

here the number to become perfect cube last 2 must have power 3

and for this we have to multiply it by 2^2 ==4

so the least number is 4