write your answer in surd form 1/1-√3+1/1+√3+1/1+√2

Question

it's a surd

Answer 1

write your answer in surd form 1/1-√3+1/1+√3+1/1+√2

1/(1-√3) + 1/(1+√3) + 1/(1+√2) =

(1+√3)/{(1-√3)(1+√3)} + (1-√3)/{(1+√3)(1-√3)} + (1-√2)/{(1+√2)(1-√2)} =

(1+√3)/{(1-3)} + (1-√3)/{(1-3)} + (1-√2)/{(1-2)} =

-(1+√3)/2 - (1-√3)/2 - (1-√2) =

{-1+√3 - 1+√3}/2 - 1+√2 =

{-2}/2 - 1+√2 =

-2 +√2 =