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Question
Classify the following number as rational or irrational with justification:
`(1 + sqrt(5)) - (4 + sqrt(5))`
Sum
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Solution
`(1 + sqrt(5)) - (4 + sqrt(5))`
= `1 - 4 + sqrt(5) - sqrt(5)`
= – 3
Hence, it is a rational number.
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Chapter 1: Number Systems - Exercise 1.2 [Page 7]
