Question

Show an example where the product of two irrational numbers is a rational number.

Show an example where the product of two irrational numbers is an irrational number.

Answer 1

√2 x √2 = 2

Explanation:

Square roots that aren't perfect squares are irrational.

For Ex: √2 is irrational.

But √2 x √2 = √4 = 2. 2 is rational

Ex. 2 : √8 x √2 = √16 = 4. 4 is rational