n and p are integers greater than 1;
5n is the square of a number;
75 np is the cube of a number.
The smallest value for n + p is Select the correct option
A) 14  B) 18  C) 20  D) 30  E) 50
n&gt;1   p&gt;1   5∗n=x^2   75 np=y3   n+p=?   Well, a square number is usually the result of himself times himself so in the case of n the least value possible (being 5 a prime) is 5*5   n=5   as for p   75∗5∗p=y3   we know 375 is equal = 53∗31 therefore to obtain a cube we need 32 or 9 -&gt; p=9p=9   p+n=14   14NSWER:14
<result>A</result>
n and p are integers greater than 1;
5n is the square of a number;
75 np is the cube of a number.
The smallest value for n + p is