Question

show that 2 root 2 is an irrational number.

Answer 1

Hope it is correct!!!!

Answer 2

•To find:- 2 root 2 is an irrational number.

•Solution:- According to the question,

2 root 2 = 2√2

and 2√2 = √{(2)² × 2}

or,2√2 = √8

or,2√2 = 2.8284...

So, square root of 8 is an irrational number

because 8 is not a perfect square.

So 2 root 2 is an irrational number.