Question

Prove that 3 + 2√3 is an irrational number.​

Answer 1

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.

HOPE IT HELPS YOU

PLEASE MARK ME AS BRAINLIST..,..