Surds (Junior Cert Mathematics): Quizzes

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Reducing Surds
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What is a surd?

A square root that can't simplify to a whole number

Which of the following is a surd?

3\sqrt{3}

What is 35+253\sqrt{5} + 2\sqrt{5}?

555\sqrt{5}

Can 43+224\sqrt{3} + 2\sqrt{2} be simplified?

No, different roots can't be added

What is 2×3\sqrt{2} \times \sqrt{3}?

6\sqrt{6}

What is 182\frac{\sqrt{18}}{\sqrt{2}}?

33

Which of these is a perfect square?

2525

What is 72\sqrt{72} simplified?

626\sqrt{2}

What is 50\sqrt{50} simplified?

525\sqrt{2}

What is 50+18\sqrt{50} + \sqrt{18}?

828\sqrt{2}

What is the first step when simplifying a surd?

Break the number into factors

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