Question

Find\[\frac{ 1 }{ 1+\sqrt{3} }+\frac{ 1 }{ \sqrt{3}+\sqrt{5} }+\frac{ 1 }{ \sqrt{5}+\sqrt{7} }....\] to n - terms.

Answer 1

multiply by conjugates....

Answer 2

(1-root 3)/-2 + (root 5-root 3)/-2 + ...

Answer 3

so root 3, root 5 ...cancels out and u get
(1+root n)/-2

Answer 4

nope

Answer 5

ohh...there r n/2 terms....

Answer 6

(1+root(2n+1))/-2