Manipulating Surds (Edexcel GCSE Maths): Quizzes

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Manipulating surds
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13 questions from this quiz

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What are surds?

Expressions with irrational square roots

Why should exact answers be left as surds rather than decimals?

Surds preserve true mathematical value

What does a×b\sqrt{a} \times \sqrt{b} equal?

a×b\sqrt{a \times b}

What does (b)2(\sqrt{b})^2 equal?

bb

What is 8×2\sqrt{8} \times \sqrt{2}?

44

What does ab\frac{\sqrt{a}}{\sqrt{b}} equal?

ab\sqrt{\frac{a}{b}}

Can a+b\sqrt{a} + \sqrt{b} be simplified?

No, it cannot be simplified further

Does a+b\sqrt{a} + \sqrt{b} equal a+b\sqrt{a + b}?

No, these are completely different values

What is (3+2)2(3 + \sqrt{2})^2?

11+6211 + 6\sqrt{2}

What does (a+b)(ab)(a + \sqrt{b})(a - \sqrt{b}) equal?

a2ba^2 - b

What is (5+3)(53)(5 + \sqrt{3})(5 - \sqrt{3})?

2222

What is 62\frac{6}{\sqrt{2}} in rationalised form?

323\sqrt{2}

What is the exact area of a circle with radius 4 cm?

16π16\pi cm²

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