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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

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Answer: 14

Step-by-step explanation:

We want the smallest value so:

we know 5n is the square of a number, so

n = 5a^2, so a > 1

we know 75np is the cube of a number, so

p= 3^2a = 9a

Now, n+p = 5a^2 + 9a = a [5a+9]

The smallest value would be when a=1

Therefore when you plug it in , n+p = 5+9 = 14

Hopefully that helped :)

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