Question

2. Prove that 3 + 2√5 is irational​

Answer 1

Answer:

Assume that 3+2√5 is rational. Then,

3+2√5​=a/b​

√5​=a−3b​/2b

This gives that a−3b​/2b is rational but 5 is an irrational number, therefore, the assumption is wrong.

Hence, 3+2√5  is irrational.