Question

2. Prove that 3+2V5 is irrational
3. Proy​

Answer 1

Step-by-step explanation:

let 3+2√5 is a rational number.

3+2√5 = p/q (where p and q are integers and q is not equal to 0)

2√5 = p/q - 3

√5 = p - 6 / 2q

p-6/2q is a rational number i.e. √5 is also a rational number but we know that √5 is a irrational number.

This shows that our assumption is incorrect.

So, 3+2√5 is an irrational number