# math

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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 what?
thank you so much

• math -

5N is a square: squares: 4,9,16,25,36,49,64,81,100,...
Now which of those are divisible by five?

now look at cubes. 8,27,64,125,256,...15^3
which of those are divisible by 75?

so if N is 5, and 75*5*P=15^3
then P is 9

• math -

thank you so much

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