Question

use prove by contradiction to prove that
1+√7 is irrational.

Answer 1

\[\textbf{HINT}\]Prove that \(\sqrt7\) is irrational, then use the fact that a rational number is written in the form \(Z + Q\) where \(Z \in \mathbb{Z}\) and \(Q \in \mathbb{Q}, 0<Q<1.\)