Question

Show that 1 divided by 1 + root 2 + 1 / 1 + root 2 is equal to minus 1 + root 3

Answer 1

1/(1+root2)+1/(root2+root3)+1/(root 3+root4)+......1/(root8+root9)

the above question proceed by first step you rationalize all fractional irrational number.

i.e

( roo2-1)+(root3-root2)+(root4-root3)+.....

(root9-root8)=3-1=2