Question

prove that 5 + root 2 is irrational no

Answer 1

$5 + \sqrt{2 \:} is \: a \: irrational \: numbe$

Answer 2

Let 5+√2 be a rational no.
Then 5+√2=p/q (p and q are integers and co prime )
√2= p/q-5
Since p and q are integers and coprime so p/q-5 is a rational no. And √2 is also a rational no .
But this is wrong as we know that √2 is not a rational no.
So our supposition is incorrect then we conclude that 5+√2 is not a rational no.


If it comes in 4marks then we will prove √2 is an irrational no. As given in the photos