Manipulating surds (AQA GCSE Further Maths): Quizzes

📚Quizzes
Manipulating surds
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

What is a surd?

A square root that cannot be simplified to a whole number

What is the main benefit of manipulating surds rather than using decimal values?

Maintaining exact values

What is a square factor?

A number expressed as whole number squared

What does a×b\sqrt{a \times b} equal?

a×b\sqrt{a} \times \sqrt{b}

What is 8\sqrt{8} in simplified form?

222\sqrt{2}

What is 6×3\sqrt{6} \times \sqrt{3} in simplified form?

323\sqrt{2}

When can you add or subtract surds?

Only when they have same square root part

What is (4+3)(43)(4 + \sqrt{3})(4 - \sqrt{3})?

1313

What is the purpose of rationalising the denominator?

To write fractions with rational denominators

To rationalise 23\frac{2}{\sqrt{3}}, what should you multiply by?

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

What is the conjugate of (45)(4 - \sqrt{5})?

(4+5)(4 + \sqrt{5})

What does (a)2(\sqrt{a})^2 equal?

aa

Explore AQA GCSE Further Maths Revision Notes by Topics

Explore AQA GCSE Further Maths Model Answers by Topics

Explore AQA GCSE Further Maths Flashcards by Topics

Explore AQA GCSE Further Maths Exam Questions by Topics

Join 100,000+ GCSE students studying Quizzes with us.

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