Question

Rationalise the denominator of 1/√3+√5+√7

Answer 1

it is related to real nos.

Answer 2

This type is done one at a time
(√2 +√3 +√5) = (√2 +√3) +√5)

so multiply both numerator and denominator by (√2 +√3) -√5)

to get ((√2 +√3) -√5))/(( (√2 +√3)^2 -√5) ((√2 +√3) +√5))
= ((√2 +√3) -√5))/((√2 +√3)^2 -5)
= ((√2 +√3) -√5))/((2 +3+ 2√6 -5)
= ((√2 +√3) -√5))/(2√6)

now multiply both numerator and denominator by √6

to get √6((√2 +√3) -√5))/12