Question

Is the product of two perfect squares always a perfect square? Explain your reasoning.

Answer 1

Explanation:

We know that a perfect square is a number that is a square of some natural number. and the product of two perfect squares is always a perfect square.

Example: Let $4$ and $9$ be two perfect squares.

$9\times 4=36={\left(6\right)}^2$, which is also a perfect square.

So we can say, Yes, the product of two perfect squares is always a perfect square.