1.3.2

Roots

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Roots

Roots are the opposite of powers.

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Square root

  • √25 means the number that squares to give 25 and so is +5 or -5 which we write as ±5.
    • There will always be a positive and a negative square root.
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Cube root

  • 3√125 means the number that cubes to give 125 and so is 5.
    • Note that (-5)3 = -125 so there is only one cube root.
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nth root

  • n√x means the number that when raised to the power of n gives x.
    • There will be positive and negative roots if n is even, and only a positive root if n is odd.

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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