Question

find the smallest number by which 59400must be multiplied to make the product of a perfect cube?

Answer 1

Factorising 59400
59400=2 3 • 3 3 • 5 2 • 11
And to get a perfect square we have to multiply it by 2*3*11=66
So
59400 *66= 3920400
Which is a square of 1980