Quick questions on Surds and rationalising the denominator explained: O-Level A-Maths

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is simplifying a surd?

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To simplify, pull out the largest perfect-square factor:

What is q1?

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Simplify

\sqrt{75} - \sqrt{12}

. [2 marks]

What is q2?

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Rationalise

\dfrac{5}{\sqrt{5}}

. [2 marks]

What is q3?

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Express

\dfrac{1}{2 + \sqrt{3}}

in the form

a + b\sqrt{3}

. [3 marks]

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