Rationalize The Denominator Worksheet Answers

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Rationalise The Denominator Worksheet

Help your students prepare for their Maths GCSE with this free rationalise the denominator worksheet of 38 questions and answers

Section 1 of the rationalise the denominator worksheet contains 27 skills-based rationalise the denominator questions, in three groups to support differentiation
Section ii contains three applied rationalise the denominator questions with a mix of worded problems and deeper problem solving questions
Section three contains 8 foundation and higher level GCSE test questions
Answers and a marking scheme for all rationalise the denominator questions are provided
Questions follow variation theory with plenty of opportunities for students to work independently at their own level
All questions created by fully qualified practiced secondary maths teachers
Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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Rationalise the denominator at a glance

Surds are the square roots of numbers that cannot be simplified. They are used to write irrational numbers precisely for the sake of accurateness in calculations. When surds are written every bit decimals, they go along forever without whatever design. Irrational numbers cannot be written as fractions with integer numerators and denominators.

Sometimes we might be asked to rationalise the denominator of a fraction. This means finding an equivalent fraction which does not have a surd in the denominator. To rationalise the denominator of a fraction which has one term involving a surd as the denominator, we multiply the numerator and denominator of the fraction by the surd.

To rationalise the denominator when the denominator is made up of a surd and a rational number, nosotros multiply both the numerator and the denominator of the fraction by the cohabit of the denominator. The conjugate is found by changing the sign between the two terms.

Looking forward, students can then progress to additional number worksheets , for example a fractions worksheet or a rounding worksheet.

For more than teaching and learning support on Number our GCSE maths lessons provide step by pace support for all GCSE maths concepts.

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