Question

Tom Brady claims that if you multiply two irrational numbers together you will ALWAYS get an irrational

number, and NEVER a rational number. He supports his claim with the example of multiplying the irrational
numbers 5 and 6.
He shows V5-V6 = 730, which is irrational and supports his claim.
Give an example proving Tom Brady wrong, where two irrational numbers can multiply to a rational number.

Answer 1

Sqrt(5)×Sqrt(5) is rational

Explanation:

Think square root of perfect squares.

Sqrt(perfect square) is rational.

Example sqrt(25)=5.

5=Sqrt(25) can be written as a product of irrational numbers. That is, sqrt(5)×sqrt(5).