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?

Answer Posted / siva

5n is a square => n = 5 (lowest value)

75np is a cube
75 = 3 * 5^2 then np = 3^2*5 = 45 (lowest value)
then taking n = 5 p = 9

Thus n + p = 14

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