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Mathematics · Grades 8–10

Cube roots

Negative numbers have negative real cube roots.

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The key idea

Negative numbers have negative real cube roots.

∛(a³) = a

Worked examples

∛(125) = ?

(5)³ = 125

5

∛(-2197) = ?

(-13)³ = -2197

-13

Try it yourself

  1. ∛(-9261) = ?

  2. ∛(9261) = ?

Check your understanding

Answers and marking notes
  1. -21

    (-21)³ = -9261

  2. 21

    (21)³ = 9261

Further reading and review references

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Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.