Question

prove that 3+2√5 is irrational ​

Answer 1

Answer:

let if possible √5 be rational

therefire√5=p/q

where p and q are integers and q not equal to 0

now

3+2√5=p/q

2√5=(p/q-3)

we take out the lcm and we get

√5=p-3q/2q

since √5 devides both p and q

therefore it is a contradictiln to our assumption that √5 is rational

therefore 3+2√5 is irrational

hence proved