Question

if √2 is rational number then State wether 2√2 is rational or irrational​

Answer 1

2 root 2 is also an irrational number

Answer 2

Answer:

Step-by-step explanation:

Given

√2 is irrational

Let a is rational

Also 2√2 is ralional

So,

a= 2√2

a/2= √2

L.H.S =rational

R.H.S= Irrational

L.H.S not = R.H.S

Whis is contruduction

Hence 2√2 is irrational