Question

find the smallest number by which 5184 should be multiplied so that product is a perfect cube.​

Answer 1

Answer:

Prime factors of 5184 =

(2^3) * (2^3) * (3^3) * 3

here, for making the product perfect cube, above number needs minimum two more 3s.

So that, every factor has exponent 3

So, two more threes means 3 x 3

= 9 , so the given number is to be multiplied by 9

Step-by-step explanation:

Hope this will help you