Question

Explain why multiplying two irrational numbers could result in either an irrational number or a rational number.

Answer 1

Because if you multiply 2 different irrational numbers (like the following)

`√(3) * √(17)`
You will get an irrational answer.

BUT
if you multiply the same square root (which are both irrational, you get a rational number)


`√(3) * √(3) = 3`