Question

Prove that 2 root 3 is an irrational number.​

Answer 1

Step-by-step explanation:

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

2+√3=p/q

√3=p/q-2

√3=(p-2q)/q

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

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

So,our assumption is false.

Therefore,2+√3 is an irrational number.

Hence proved.