Question

Prove that 1/3•√3+√5 is irrational

Answer 1

Step-by-step explanation:

Let us suppose that √3-√5 is rational and is equal to a/b where a and b are co-prime. Since a, b, 8,2 are rational numbers a^2–8b^2/-b^2 should also be rational. And √15 should also be rational but this contradicts the fact that √15 is irrational.