Manipulating Surds (AQA GCSE Maths): Quizzes

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Manipulating surds
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10 questions from this quiz

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Which of these best describes what surds are?

Irrational square roots

Simplify 5×7\sqrt{5} \times \sqrt{7}

35\sqrt{35}

Calculate 18÷2\sqrt{18} \div \sqrt{2}

33

Which statement is TRUE about adding surds?

a+ba+b\sqrt{a}+\sqrt{b} \neq \sqrt{a+b}

Expand (3+5)2(3 + \sqrt{5})^2

14+6514 + 6\sqrt{5}

Simplify (4+3)(43)(4 + \sqrt{3})(4 - \sqrt{3})

1313

Rationalise 63\frac{6}{\sqrt{3}}

232\sqrt{3}

Simplify 50\sqrt{50} completely

525\sqrt{2}

Simplify 67+37276\sqrt{7} + 3\sqrt{7} - 2\sqrt{7}

777\sqrt{7}

What do you multiply by to rationalise 12+5\frac{1}{2 + \sqrt{5}}?

252 - \sqrt{5}

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