Answer: 15
Step-by-step explanation:
A perfect cube is a whole number which is the cube of another whole number.
Since, the factor form of 1800 = [tex]2\times 2\times 2\times 3\times 3\times 5\times 5[/tex]
= [tex]2^3\times 3^2\times 5^2[/tex]
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.
