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Question
Simplify :
` 22/[2sqrt3 + 1] + 17/[ 2sqrt3 - 1]`
Solution
` 22/[2sqrt3 + 1] + 17/[ 2sqrt3 - 1]`
= `[ 22(2sqrt3 - 1) + 17(2sqrt3 + 1)]/[(2sqrt3 + 1)( 2sqrt3 -1 )]`
= `[ 44sqrt3 - 22 + 34sqrt3 + 17]/[ (2sqrt3)^2 - 1 ]`
=`[ 78sqrt3 - 5]/[ 12 - 1]`
= `[ 78sqrt3 - 5 ]/11`
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