AQA A Level Maths: Pure复习笔记2.1.3 Surds - Rationalising the Denominator
Surds - Rationalising the Denominator
What does it mean to rationalise a denominator?
- Rationalising a denominator changes a fraction with surds in its denominator, into an equivalent fraction where the denominator is a?rational number?(usually an integer) and any surds are in the numerator
- There are three cases you need to know how to deal with when rationalising denominators:
Exam Tip
- If an exam question asks you to give an answer, for example, "in the form?p?+?q√3?, where?p?and?q?are rational numbers", this does NOT mean that?p?and?q?have to be integers, or positive!
- Remember: both integers and fractions (both positive and negative) are rational numbers
Worked Example
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