Question

prove that √2+2 is irrational​

Answer 1

Answer:

Step-by-step explanation:

Aankh dikhaata hai madatchaad

Answer 2

Let √2+2 be an irrational no.

Therfore, √2+2=a/b (where a and b are coprimes and b is not equal to 0)

√2=a/b-2

√2=a-2b/b

Since a and b are integers, a-2b/b is a rational no.

But we know that √2 is an irrational no

A rational.no. can never be equal to an irrational no.

Hence, Contraction has occurred

Therfore, √2+2 is an irrational no.