Question

prove that 3√2/4 is an irrational no

Answer 1

Let 3√2/4 be rational no.
3√2/4=p/q
√2=4p/3q
Here √2 is irrational no.
Therefore rational no.= Irrational no.
This is not possible
Our assumptions b wrong.
Hence 3√2/4 is irrational no.

Answer 2

Heya !!!

Here is your answer :-

Let's assume that 3√2/4 is a rational number.

So, 3√2/4 = p/q , q≠0, p,q both integers.

=> 3√2 = 4p/q

=> √2 = 4p/3q
= integer/ integer
= a rational number

Which contradicts the fact that √2 is irrational.

So, 3√2 /4 is an irrational number.




I hope this helps you dear friend.