Question

Prove that 3 + 23 is an irrational number​

Answer 1

Answer:

Hi friend,

Let 3+2√3 is a rational number.

A rational number can be written in the form of p/q.

3+2√3=p/q

√3=p/2q-3

√3=p-6q/2q

p,q are integers then (p-6q)/2q is a rational number.

But this contradicts the fact that √3 is an irrational number.

So,our statement supposed is false.

Therefore,3+2√3 is an irrational number.