Reducing Surds (Leaving Cert Mathematics): Quizzes

📚Quizzes
Revision NotesModel AnswersQuizzesFlashcardsExam Questions
Reducing Surds
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

11 questions from this quiz

Show

What is 11−211+411\sqrt{11}-2\sqrt{11}+4\sqrt{11} simplified?

3113\sqrt{11}

Which property helps simplify 12\sqrt{12} into 4⋅3\sqrt{4}\cdot\sqrt{3}?

ab=a⋅b\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}

What does x2\sqrt{x^2} simplify to?

xx

Why should answers never have a surd as the denominator?

We need to rationalise the denominator

To rationalise 15\frac{1}{\sqrt{5}}, what do you multiply by?

55\frac{\sqrt{5}}{\sqrt{5}}

What is 15\frac{1}{\sqrt{5}} rationalised?

55\frac{\sqrt{5}}{5}

To rationalise 1ba\frac{1}{b\sqrt{a}}, multiply by what?

aa\frac{\sqrt{a}}{\sqrt{a}}

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

c−bac-b\sqrt{a}

To rationalise 1c+ba\frac{1}{c+b\sqrt{a}}, use what?

The conjugate c−bac-b\sqrt{a}

What is the conjugate of ab+cda\sqrt{b}+c\sqrt{d}?

ab−cda\sqrt{b}-c\sqrt{d}

What is 627\frac{\sqrt{6}}{2\sqrt{7}} rationalised?

4214\frac{\sqrt{42}}{14}

Explore Leaving Cert Mathematics Revision Notes by Topics

Indices

Logarithms

Surds

Explore Leaving Cert Mathematics Model Answers by Topics

Indices

Logarithms

Surds

Explore Leaving Cert Mathematics Flashcards by Topics

Indices

Logarithms

Surds

Explore Leaving Cert Mathematics Exam Questions by Topics

Indices

Logarithms

Surds

Join 100,000+ Leaving Cert students studying Quizzes with us.

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