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Question
If x = 2√3 + 2√2 , find : `( x + 1/x)^2`
Sum
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Solution
`( x + 1/x)^2 = [ 5sqrt3 + 3sqrt2/2]^2`
= `( 75 + 18 + 30sqrt6)/4`
= `( 93 + 30sqrt6)/4`
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Rationalisation of Surds
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