Question

prove inrattional 5​

Answer 1

HERE IS UR ANSWER FRIEND:-

IT IS IRRATIONAL COZ IT CAN'T BE WRITTEN IN THE FORM P BY Q!!!

HOPE IT HELPED U FRIEND!!✌✌

Answer 2

Let suppose √5 is a rational no .

{ P & Q are the co prime number }

( where q ≠ 0 )

$\sqrt{5} = \frac{p}{q}$

$5 = \frac{p}{q} \\ \\ squaring \: \\ 5 = \frac{ {p}^{2} }{q {}^{2} } \: \: or \: 3q {}^{2} = p {}^{2} ..........1 \\ \\ p {}^{2} \: is \: also \: divisible \: by \: 5 \: \: \: \\ p \: is \: also \: is \: divisible \: by \: 5 \\ \\ \frac{p}{5} = k \\ \\ from \: 1 \\ \frac{5q {}^{2} }{25} = k {}^{2} \\ \\ q {}^{2} \: is \: also \: divisible \: by \: 5 \: \\ q {}^{2} is \: also \: divisible \: by \: 5 \:$

ẞø øur süppøßtîøñ îß wrøñg .

ẞø wè ßay that √5 is a irrational no .