Show that 74088 is a perfect cube. Also, find the number whose cube is 74088.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Resolving 74088 into prime factors, we get:

74088 = 2 2 2 3 3 3 7 7 7 = (2 3 7)3  = 423

Thus, 74088 is a perfect cube.

And, 42 is the number whose cube is 74088.

Answered by  | 4th Jun, 2014, 03:23: PM