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Question
State whether the following number is rational or irrational
`(3 + sqrt(3))^2`
Sum
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Solution
`(3 + sqrt(3))^2`
= `(3)^2 + (sqrt(3))^2 + 2 xx 3 xx sqrt(3)`
= 9 + 3 + 6`sqrt(3)`
= 12 + 6`sqrt(3)`, which is irrational
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