Question

Given that 1800k is a perfect cube, write the smallest possible value of k

Answer 1

Answer: 15

Explanation:

A perfect cube is a whole number which is the cube of another whole number.

Since, the factor form of 1800 =
`2* 2* 2* 3* 3* 5* 5`

=
`2^3* 3^2* 5^2`

Thus, we need to multiply 15 in the number 1800 for making it a perfect cube.

When we multiply 1800 by 15,

We get, 27000 which is a perfect square root.

Thus, the smallest value of k will be 15.