Question

The product 864 x n is a perfect cube, what is the smallest value of n?​

Answer 1

Answer:

2

Step-by-step explanation:

Factorizing 864, we get

864=3

3

×2

5

=3

3

×2

3

×2

2

To make 864×n perfect cube, n needs to be equal to 2 to make it 3

3

×2

3

×2

3

.

Answer 2

Answer:

2

Step-by-step explanation:

864=3³x2⁵

864=3³x2³x2²

n=2