1 votes 1 votes Prove or disprove that the product of two irrational numbers is irrational. Mathematical Logic kenneth-rosen discrete-mathematics mathematical-logic propositional-logic + – Pooja Khatri asked Apr 4, 2019 Pooja Khatri 295 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes False. Let's consider two irrational numbers, $2+\sqrt{3}$ and $2-\sqrt{3}$. Their product is simply $(2+\sqrt{3})*(2-\sqrt{3}) = 2^2 - (\sqrt{3})^2 = 4-3 = 1$ which is an integer. vedantbonde19 answered Jan 5, 2020 vedantbonde19 comment Share Follow See all 0 reply Please log in or register to add a comment.