Question

n and p are integers greater than 1
5n is the square of a number
75np is the cube of a number.
The smallest value for n + p is:
A. 14
B. 18
C. 20
D. 30
E. 50

Answer 1

5n is a square, 5 is the smallest possible n

75np is a cube, 45 is the smallest possible np, so p = 9

smallest n+ p =

Answer 2

@PaigeSparkles how do you know the smallest possible for p is? Your answer is correct n+p=14, but I don't understand how you can get p.
Can you explain, thanks. :)