Question

Proof that 3+root 5 is irrational number.

Answer 1

(1) 3 + √5 is irrational

Solution : let 3 + √5 is rational

3 + √5 = p / q

√5 = p - 3 / q

So p - 3 /q, is equal to √5 so it is also a

Irrational

Our assumptions is wrong

Because of 5 divide p² so it is also divides p

3 + √5 is irrational

Hope it is helpful

I give you two solution