Question

Prove that
$\sqrt{5}$
Prove that root 5
is irrational​

Answer 1

Let us assume that √5 is a rational number.we know that the rational numbers are in the form of p/q form where p,q are intezers.so, √5 = p/q     p = √5qwe know that 'p' is a rational number. so √5 q must be rational since it equals to pbut it doesnt occurs with √5 since its not an intezertherefore, p =/= √5qthis contradicts the fact that √5 is an irrational numberhence our assumption is wrong and √5 is an irrational number.hope it helped u :)

Answer 2

$\implies\sqrt{5} = 2.23606798$

It is a irrational because, rational numbers will be in $\frac{p}{q}$ form. It is in decimal form.

Hence proved.

Hope it helps you...