Surds (OCR GCSE Maths): Quizzes

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Surds
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What is a surd?

An irrational number in square root form

Why do we use surds instead of decimals?

To keep calculations exact

What does 7×5\sqrt{7} \times \sqrt{5} equal?

35\sqrt{35}

What does 8×8\sqrt{8} \times \sqrt{8} equal?

88

Which of these is a square number?

2525

What is 45\sqrt{45} simplified?

353\sqrt{5}

What is 50\sqrt{50} simplified?

525\sqrt{2}

What is 90×20\sqrt{90} \times \sqrt{20} simplified?

30230\sqrt{2}

When can you add or subtract surds?

Only when surds are of the same type

What is 12+27\sqrt{12} + \sqrt{27} simplified?

535\sqrt{3}

What is 23\frac{2}{\sqrt{3}} rationalised?

233\frac{2\sqrt{3}}{3}

To rationalise 532\frac{5}{3 - \sqrt{2}}, what do you multiply by?

3+23+2\frac{3 + \sqrt{2}}{3 + \sqrt{2}}

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