Question

prove 4-2root8 is irrational

Answer 1

I hope this will help you

Answer 2

$\huge \bf \underline{hey}$

$\huge{ \mathfrak{here \: is \: answer}}$
$\bf{to \: prove}$
$\sf{4 - 2 \sqrt{8} \: is \: irrational}$


$\sf{let 4 - 2 \sqrt{8} be \: a \: rational \: number}$

then

$4 - 2\sqrt{8} = \frac{p}{q} where \: q \not{=}0$


for more see in pic

in this

$\frac{p - 4q}{2q} is \: rational$

but
$\sqrt{8} \: is \: irrational$

hence

the contradiction we suppose is wrong

hence it is an irrational number

$\huge\boxed{hope \: it \: helps}$


$\huge \mathbb{THANKS}$