# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2013 | June | Q#1

Question

Simplify

giving your answer in the form  , where a and b are integers.

Solution

We are given;

If we need a rational number in the denominator of a fraction, we need to follow procedure of “denominator rationalization” as given below.

ü If the denominator is of the form  then multiply both numerator and denominator by

ü If the denominator is of the form  then multiply both numerator and denominator by  .

ü If the denominator is of the form  then multiply both numerator and denominator by  .

We have algebraic formula;

Since ;