√無料でダウンロード！ y=x^2 2x-8 domain 150842
31 Problem 178 Prove that if n is a perfect square, then n2 is not a perfect square Proof Suppose that n = x2 and n2 = y2, with both x and y nonnegative naturals We know a formula for the difference of squares (n2) (n)= x2 y2 2 =(x y)(x y) Since 2 is a prime number, one of these factors must be 2 and the other must be 1