Show that 1/3-root8 - 1/root 8 - root 7 + 1/root 7 - root 6 - 1/root 6 - root 5 + 1/root 5 -2 = 5

1 / (3 - root 8) = 3 + root 8

1 / (root 8 - root 7) = root 8 + root 7

1 / (root 7 - root 6) = root 7 + root 6

1 / (root 6 - root 5 ) = root 6 + root 5

1 / (root 5 -2) = root 5 + 2

3 + root 8 - root 8 - root 7 + root 7 + root 6 - root 6 - root 5 + root 5 + 2 

3 + 2 = 5

Hence Proved