Classifying Real Numbers and Exact Evaluation

Classifying Real Numbers and Exact Evaluation

IP 1
6 marks
  1. Identify all the irrational numbers in the list below. \(\sqrt{50},\ (-3)^2,\ \frac{31}{6},\ \frac{2\pi}{5},\ \sqrt[3]{512},\ -1.2\)[2]
  2. Without the use of a calculator, evaluate \(9-3\left[\frac{\sqrt[3]{216}}{3}+10\div5\right]+\sqrt{-5^2+74}\).[4]

Solution:

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Answer:(a) \(\sqrt{50}\), \(\frac{2\pi}{5}\) (b) \(4\)

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