Dealing With Surds (Leaving Cert Mathematics): Quizzes

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Dealing With Surds
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Which type of number can be written as ab\frac{a}{b} where aa and bb are integers and b≠0b \neq 0?

Rational numbers

What is true about the decimal representation of irrational numbers?

Never ends and never repeats

What are surds?

Square roots without exact whole values

Which property is essential for simplifying surds?

ab=a×b\sqrt{ab} = \sqrt{a} \times \sqrt{b}

What is 48\sqrt{48} in its simplest form?

434\sqrt{3}

What does 'simplest form' mean for a surd?

Largest perfect square taken out

When can surds be added or subtracted?

When they have same irrational parts

What is 5+45−20\sqrt{5} + \sqrt{45} - \sqrt{20} in simplest form?

252\sqrt{5}

What is 6×2\sqrt{6} \times \sqrt{2} in simplest form?

232\sqrt{3}

What is 23×352\sqrt{3} \times 3\sqrt{5}?

6156\sqrt{15}

Why must you check solutions when solving surd equations?

Squaring can introduce false solutions

What is the value of 25\sqrt{25} according to surd conventions?

55 only

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