I can't solve this problem:
Suppose $n$ and $p$ are integers greater than $1$, $5n$ is the square of a number, and $75np$ is the cube of a number. What is the smallest value for $n+p$?
(Answer given is $14$)
I don't even understand if $5n$ is the square of the same number which has a cube of $75np$. Any suggestions? How would I solve this problem?