Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | January | Q#5
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Question
a. Write in the form
, where a is an integer.
b. Express in the form
, where b and c are integers.
Solution
a.
We are given;
Since ;
b.
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 ;
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