Surds (HSC SSCE Mathematics Advanced): Quizzes

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Surds
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What is a surd?

A root that cannot be a whole number

Which of these is a surd?

5\sqrt{5}

What is 50\sqrt{50} in its simplest form?

525\sqrt{2}

What is 3×12\sqrt{3} \times \sqrt{12}?

66

Simplify 32+523\sqrt{2} + 5\sqrt{2}.

828\sqrt{2}

Can 2+3\sqrt{2} + \sqrt{3} be simplified further?

No, they are unlike surds

What is 13\frac{1}{\sqrt{3}} when rationalised?

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

What is the conjugate of 2+32 + \sqrt{3}?

2−32 - \sqrt{3}

Why do we rationalise denominators?

It gives cleaner, easier to work with form

Which is the largest perfect square factor of 50?

2525

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