Question

show that 2+ root 2 is not a rational number​

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.

Answer 2

Answer:

Have a good hope it is helpful

Step-by-step explanation:

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.