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

Answer:

√2 x √2 = 2

Step-by-step 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