Question

Prove √5+√3 is irrational

Answer 1

let. √5+ √3 be are rational number

√5+√3= a\b. ( where A and B are coprimes)

√3= a\b-√5
√3=a-√5b\b

a-√5b\b is a rational number to √3 is also a
rational number.

But this contradict the fact that √3 is a irrational number.

Thus √5+√3 is a irrational number.