For positive integers $𝑛$, $𝑎$ and $𝑏$ with $𝑎𝑏 = 𝑛^2$ and $\gcd(a,b)=1$, show that $a$ and $b$ are squares
If $\gcd(a, b) = 1$ and if $ab = x^2$, prove that $a, b$ must also be perfect squares; where $a,b,x$ are in the set of natural numbers