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Year 8 maths · C.9 · Square roots and cube roots

Solve equations with squares and fractions

Take the root of both sides to undo the power.

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See worked examples
  1. Solve x² = 121/4. Write the positive solution as a fraction.

    Answer: 11/2

  2. Solve x² = 49/121. Write the positive solution as a fraction.

    Answer: 7/11

  3. Solve x² = 4/81. Write the positive solution as a fraction.

    Answer: 2/9

Tip: Take the root of both sides to undo the power.

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