Laws of Indices & Surds (Edexcel A-Level Mathematics): Quizzes

📚Quizzes
Surds - Rationalising the Denominator
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

12 questions from this quiz

Show

Why are surds as denominators considered bad presentation?

They are bad presentation by convention

What is the key technique to rationalise 1n\frac{1}{\sqrt{n}}?

Multiply by nn\frac{\sqrt{n}}{\sqrt{n}}

What is 655\frac{6\sqrt{5}}{5} called after rationalising 65\frac{6}{\sqrt{5}}?

Simplified surd form

What is 32\frac{3}{\sqrt{2}} in simplified surd form?

322\frac{3\sqrt{2}}{2}

What is 147\frac{14}{\sqrt{7}} in simplified surd form?

272\sqrt{7}

What should you do FIRST when simplifying 4520\frac{\sqrt{45}}{\sqrt{20}}?

Simplify the surds

What does 45\sqrt{45} simplify to?

353\sqrt{5}

What is the conjugate of a+bca + b\sqrt{c}?

abca - b\sqrt{c}

What does (3+2)(32)(3 + \sqrt{2})(3 - \sqrt{2}) equal?

929 - 2

To rationalise 327\frac{3}{2 - \sqrt{7}}, multiply by which fraction?

2+72+7\frac{2 + \sqrt{7}}{2 + \sqrt{7}}

Why are negative denominators considered bad?

Examiners prefer positive denominators

What is 756\frac{7}{5\sqrt{6}} in simplified surd form?

7630\frac{7\sqrt{6}}{30}

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.