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Year 10 - Maths

Solving equations with surds

Surds

Unit Summary

In this unit pupils will learn how to recognise surds, handle them in calculations and rationalise fractions with surds as denominators.

Lesson Summary

You will learn to solve an equation where some of the coefficients or terms are surds.

Key Notes

  • A surd is a value, not a variable.
  • Your knowledge of surds can be used alongside your knowledge of algebraic manipulation.

Vocabulary To Learn

  • Surd: A surd is an irrational number expressed as the root of a rational number.

Common Mistakes To Avoid

  • Pupils may want to write rounded solutions when solving a quadratic equation.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

A surd is a value, not a variable. Your knowledge of surds can be used alongside your knowledge of algebraic manipulation.

2. Use this key word in a maths sentence and explain it clearly. 'Surd'

A surd is an irrational number expressed as the root of a rational number. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Pupils may want to write rounded solutions when solving a quadratic equation. Correction: Remind them of the importance of accuracy and further calculations.

More Lessons In This Unit

Browse all guides in the Year 10 Maths guide library.