Question

Simplify: a) 1/ 1+ under root 2+1/ under root 2+ under root 3 + 1/ under root 3 + under root 4
Please answer me quickly

Answer 1

1/(1+√2)+1/(√2+√3)+1/(√3+√4)

=(1-√2)/(-1)+(√2-√3)/(-1)+(√3-√4)/(-1)

=(-1+√2)+(-√2+√3)+(-√3+√4)

=-1+√2-√2+√3-√3+√4

=-1+√4