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## Homework Statement

Argue that (17^4)*(5^10)*(3^5) is not the square of an integer.

## Homework Equations

N/A?

## The Attempt at a Solution

Do I break these up, and show that each is not a square? I'm not sure if that would be correct, but sqrt(17^4)=289 * sqrt(5^10)=3125 * sqrt(243)=15.5884 =...

Since sqrt(243)=15.5884 and is not an integer then the above is not the square of an integer. Is this an efficient explanation?