Question

prove that 3-√5
is an irrational number

Answer 1

hey friends ☺

let that 3 -√5 is rational no.

and obviously 3 is also rational no.

now , as we know that the substraction of two rational is always rational no.

so...if 3 is subtracted from 3 - √5

then we got

3 - √5 -3 =√5 .

but here is contradiction arises that √5 is rational no.

so .our assumption is wrong ...

it is possible only when 3 -√5 is irrational no.

hense ..here prooved 3-√5 is irrational no.

hope it helps you !!

$Rajukumar111