Question

Give reasons to show that the following numbers
are irrational?

4/root3

Answer 1

Answer:

Let us assume 4/root3 as rational

So we get

4/root3=a/b

Where a and b are Co primes and b is not equal to zero

By cross multiplication we get

Root3*a=4b

Root3=4b/a

We know that 4b/a is rational

Therefore root3 is also irrational

But this contradict the fact that root3 is irrational

This Contradiction arised due to our wrong assumption that 4/root3 is rational

So we conclude that 4/root3 is irrational.

Step-by-step explanation: