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

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

anonymous · Answer

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 =

anonymous · Answer

@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. :)