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Question
State whether the following number is rational or irrational
`(5 - sqrt(5))^2`
Solution
`(5 - sqrt(5))^2`
= `(5)^2 + (sqrt(5))^2 - 2 xx 5 xx sqrt(5)`
= 25 + 5 - 10`sqrt(5)`
= 30 - 10`sqrt(5)`, which is irrational
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