Question

Prove 3 + v5is irrational​

Answer 1

Step-by-step explanation:

To prove 3+√5 irrational

We have to prove it's not a rational number.(Indirect proof)

3+√5 is a rational number which can be written as p/q.

3+√5=p/q

3q=√5p

3q is a rational number.

√5p is an irrational number.

therefore,

3q=√5p is not possible .

Thus, we arrive at a contradiction .

therefore ,

3+√5 is an irrational number