Question

Simplify: a) 1/ 1+ under root 2 + 1 / under root 2 + under root 3 + 1/ under 3 + under root 4

Answer 1

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Answer 2

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