Irrational Numbers and Exact Arithmetic

Irrational Numbers and Exact Arithmetic

IP 1
6 marks
  1. Identify all the irrational numbers in the list below. \(\sqrt{18},\ -2.5^2,\ \frac{15}{4},\ \frac{\pi}{4},\ \sqrt[3]{216},\ 0.\overline{3}\)[2]
  2. Without the use of a calculator, evaluate \(7-2\left[\frac{\sqrt[3]{64}}{2}+8\div4\right]+\sqrt{-3^2+34}\).[4]

Solution:

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Answer:(a) \(\sqrt{18}\), \(\frac{\pi}{4}\) (b) \(4\)

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