Question

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

Answer 1

Answer:

Yes

Step-by-step explanation:

Take the numbers to be = x, y

Perfect square of x = x^2

Perfect square of y = y^2

Product of x^2 and y^2 = x^2 × y^2

Prime factorisation of the product = x × x × y × y

Thus, this product will always be a perfect square too.

$\tt{Proved.}$

Answer 2

Answer:

yes the product of two perfect square is always perfect square