Question

Rationalize √4+1/√3+√5

Answer 1

Pretty sure you meant:

(√4+1)/(√3+√5)
the conjugate is (√3 - √5) , so
= (√4+1)/(√3+√5) * (√3 - √5)/(√3 - √5)
= (2+1)/(√3+√5) * (√3 - √5)/(√3 - √5)
= 3(√3 - √5)/(3-5)
= -3/2(√3 - √5)

not sure about the √4 + 1
why would anybody leave it as √4
perhaps you meant √(4+1), again if so, why not just say √5