Question

Prove that 3 +2 root5is irrational.​

Answer 1

Answer:

let us assume 3+2√5 is rational and express it in form of a/b where a and b are co prime integers..

3 + 2√5 = a/ b

2√5 =a/b -3

√5 =a-3b/2b

√5 is rational.

This contradicts the fact that √5 is irrational.

So our supposition is incorrect.

Hope this will help you.