# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2016 | June | Q#3

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**Question**

**a. **Simplify

Giving your answer in the form , where a is an integer.

**b. ** Hence, or otherwise, simplify

Giving your answer in the form , where b and c is are integers and .

**Solution**

**a.
**

We are given;

Since ;

Since ;

**b. **

We are given;

We have found in (a) that;

Therefore;

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 .

Since ;

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