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Question
Simplify the following expressions:
`(3 + sqrt3)(5 - sqrt2)`
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Solution
We can simplify the expression `(3 + sqrt3)(5 - sqrt2)`as
`(3 + sqrt3)(5 - sqrt2) = 3 xx 5 - 3 xx sqrt2 + 5xx sqrt3 - sqrt3 xx sqrt2`
`= 15 - 3sqrt2 + 5sqrt3 - sqrt(3 xx2)`
`= 15 - 3sqrt2 + 5sqrt3 - sqrt6`
Hence the value of the expression is `15 - 3sqrt2 + 5sqrt3 - sqrt6`
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