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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