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Edexcel A Level Maths: Pure:復(fù)習(xí)筆記2.1.3 Surds - Rationalising the Denominator

Category: A-level課程, 國(guó)際課程, 教材筆記, 福利干貨 Date: 2022年10月25日上午10:33

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

2.1.3-Explanation-diagram

There are three cases you need to know how to deal with when rationalising denominators:

2.1.3-List-of-rationalising-denominator-cases-1

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

2.1.3-Rationalising-the-Denominator-Example

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