Question

Show that 2√2 is an irrational no.

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

A proof that the square root of 2 is irrational. Let's suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero. We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction.