Question

prove that √5 is irrational​

Answer 1

To prove that √5 is an irrational number

Let's assume that √5 is a rational number

We know that, Rational numbers are in the form of $\frac {p}{q}$ form Where p & q are integers.

So, √5 = $\frac {p}{q}$

p = √5 × q

We know that p is a rational number.

So,√5 q must be rational since it equals to p

but it doesnt occurs with √5 since its not an integer.I

•°• p =/= √5q

This contradicts the fact that √5 is an irrational number

Hence our assumption is wrong &  √5 is an irrational number.