Question

Prove the 3+2√5 as irrational number​

Answer 1

Answer:

take it p/q square both side then by contradiction you will get answers

Answer 2

Answer:

3+2root5 is irrational.

Step-by-step explanation:

let,

3+2root5=a/b.

2root5=a/b-5

2root5=a-5b/b

root5=a-5b/b

therefore,a-5b/b is rational(since its in p/q form) then root5 will also be rational.But this contradicts the fact that root5 is irrational,this contradiction has arisen due to our wrong assumption.

HENCE,3+2root5 is an irrational number.

HOPE THAT HEPLS.