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0580/12 May/Jun 2022, Question 13: Cube Roots

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 3 marks

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The question, in short

Work out the value of √68 × √153, and find 6789^(1/3) rounded to 2 decimal places.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Calculate the product of √68 and √153.

  1. 1√68 × √153 = √(68 × 153) = √10 404
  2. 2= 102

Answer102

Part (b) · 2 marks

Find the cube root of 6789, giving the result to 2 decimal places.

  1. 16789^(1/3) = ∛6789 = 18.935…
  2. 2≈ 18.94

Answer18.94

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