Surds - Rationalising the Denominator (AQA A-Level Mathematics): Quizzes

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Surds - Rationalising the Denominator
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Why are surds in denominators considered bad presentation?

They are not in simplified form

What should you multiply 13\frac{1}{\sqrt{3}} by to rationalise the denominator?

33\frac{\sqrt{3}}{\sqrt{3}}

What is 655\frac{6\sqrt{5}}{5} an example of?

Simplified surd form

Rationalise 147\frac{14}{\sqrt{7}} fully.

272\sqrt{7}

What is 756\frac{7}{5\sqrt{6}} in simplified surd form?

7630\frac{7\sqrt{6}}{30}

When simplifying surd fractions, when should you simplify the surds themselves?

First, before rationalising

What is the conjugate of a+bca + b\sqrt{c}?

abca - b\sqrt{c}

Calculate (3+2)(32)(3 + \sqrt{2})(3 - \sqrt{2}).

77

Are negative denominators acceptable in final answers?

No, they are bad presentation

To rationalise 327\frac{3}{2 - \sqrt{7}}, what should you multiply by?

2+72+7\frac{2 + \sqrt{7}}{2 + \sqrt{7}}

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