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0580/32 May/Jun 2026, Question 25: Irrational Numbers

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 1 mark

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The question, in short

Identify which of the four listed values are irrational by circling them.

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

Solution · 1 mark

  1. 1331776⁰·²⁵ = ⁴√331776 = 24, rational
  2. 27/13 is a fraction, rational; 6432.89¹⁷ is a terminating decimal to a whole power, rational
  3. 3√0.4 = √(2/5) cannot be written as a fraction, irrational

Answer√0.4

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