Question

prove that √6+√5 is irrational

​

Answer 1

To prove : √6+√5 is irrational.

Proof :

Let assume √6+√5 as a rational number.

$√6+√5 = \frac {a}{b} ..........{Rational number = \frac{a}{b} }$

$= √6+√5 = \frac {a}{b}$

$= √5 = \frac {a}{b} - √6$

$= \frac {a-√6}{√5b}$

→ Our assumption or contradiction that √6+√5 is a rational number is false.

•°• √6+√5 is an irrational number.

•°• Hence proved .