Question

please help me to prove that 2+root 3 is irrational solve it with numerical y​

Answer 1

Answer:

Let 2+√3 be rational no.

So,2+√3=p/q

+√3=p/q-2

Since,a and b are integers,a/b-2 is a rational number and

therefore,+√3 is a rational no.

but this contradicts the fact that it is a irrational number.

This contradiction arises as we have assumed 2+√3 a rational number.

So,2+√3 is a irrational no.