Question

prove that 8 - root 2 is irrational no.​

Answer 1

Answer:

8-v/2

2^(3-1/2)

2^(5/2)

WHICH IS AN IRRATIONAL NO

Answer 2

${\boxed{\sf{Solution:-\:}}}$

$\sf\underline{To\: prove:-\:}$

$\sf8 - \sqrt{2}$

$\sf \: Let \: 8 - \sqrt{2} \: be \: a \: \\ rational \: number \: which \: can \: be \\ \: expressed \: in \: the \: form \: of \: \\ \frac{p}{q} \: where \: p \: and \: q \: \\ have \: no \: other \: common \: factor \: \\ than \: 1 \\ \: \frac{8q - p}{q} \: is \: \\ rational \: but \: √2 \: is \: Irrational \: .$

$\huge\fbox\pink{Hence , \: its\: proved\:}$