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## 'The Root of the Problem' printed from http://nrich.maths.org/

Why do this problem ?
The
problem gives a neat application involving the manipulation of
surds where surds occur in the denominator of a fraction.

It makes a good rounding-off to the section of work on surds which
includes rationalisation of denominators.

Possible approach

This is a short problem that can be used as a lesson starter to a
lesson on surds or on summing series.

Key question

Can you simplify the fractions with the surds in the
denominators?