Surds (Leaving Cert Mathematics): Quizzes

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Surds
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What is a surd?

A square root that cannot simplify further

What does ab\sqrt{ab} equal according to the multiplication rule?

a×b\sqrt{a} \times \sqrt{b}

What does ab\sqrt{\frac{a}{b}} equal according to the division rule?

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

What is 18\sqrt{18} in its simplest form?

323\sqrt{2}

What is 72\sqrt{72} in its simplest form?

626\sqrt{2}

What is 4916\sqrt{\frac{49}{16}} in its simplest form?

74\frac{7}{4}

What condition must aa and bb satisfy for ab=a×b\sqrt{ab} = \sqrt{a} \times \sqrt{b}?

a,b0a, b \geq 0

Are the surd properties found in the log tables?

No, they are not in the log tables

Using indices, how is ab\sqrt{ab} written to prove the multiplication rule?

(ab)1/2(ab)^{1/2}

What can surds be simplified into using the key properties?

Their simplest forms

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