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