Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | January | Q#2
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Question
a. Simplify
giving your answer in the form , where
is an integer.
b. Simplify
giving your answer in the form , where b and c are integers.
Solution
a.
We are given;
Since ;
Since ;
b.
As demonstrated in (a) we can write the numerator as;
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;
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