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Classify the following numbers as ratio...

Classify the following numbers as rational or irrational:(i) `2-sqrt(5)` (ii) `(3+sqrt(23))-sqrt(23)` (iii) `(2sqrt(7))/(7sqrt(7))` (iv) `1/(sqrt(2))` (v) `2pi`

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To classify the given numbers as rational or irrational, we will analyze each expression step by step. ### Step-by-Step Solution: **(i) \(2 - \sqrt{5}\)** 1. **Identify the components**: Here, \(2\) is a rational number (it can be expressed as \(\frac{2}{1}\)), and \(\sqrt{5}\) is an irrational number (it cannot be expressed as a fraction). 2. **Rational minus Irrational**: When we subtract an irrational number from a rational number, the result is always irrational. ...
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