Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#3
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Question
Show that can be written 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 can expand and simplify the denominator as follows.
We have algebraic formula;
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