Question

plz give me the correct answer​

Answer 1

Let 2 + √2 be a rational number say r.

Then 2+ √2 = r

√2 = r - 2

But.√2 is an irrational number.

Therefore, r - 2 is also an irrational number.

⇒ r is an irrational number.

Hence our assumption r is a rational number is wrong.

Hence, 2 + √2 is not a rational number.

hope it helps u jaani....❣️.....good morning n assalamualikum ☺️☺️

Answer 2

let 2+root2be a rational number say r

then 2+root2=r

root 2=r-2

but root 2 is an irrational number

therefor, r-2is also an irrational number

=>r is an irrational number

hence our assumption r is a rational number is wrong

hence, 2+root 2 is not a rational number