Question

prove that 3√2 is irrational number​

Answer 1

Answer:

We have to prove that 3√2 is irrational number

So let's assume opposite

i.e 3√2 is rational number

Hence, 3√2 can be written in the form a/ b

Where a and b are coprimes (have no common factor other than 1) b≠0

Hence , 3√2 = a/b

√2 = a/3b

√2 is irrational

but a/3b is rational

Since, irrational≠ rational

This is a contradict

So , our assumption was incorrect

3√ 2 is irrational number