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Question
Simplify the following expressions:
`(4 + sqrt7)(3 + sqrt2)`
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Solution
We can simplify the expression `(4 + sqrt7)(3 + sqrt2)` as
`(4 + sqrt7)(3 + sqrt2) = 4 xx 3 + 4 xx sqrt2 + 3 xx sqrt7 + sqrt7 xx sqrt2 `
`= 12 + 4sqrt2 + 3sqrt7 + sqrt(7xx2)`
`= 12 + 4sqrt2 + 3sqrt7 + sqrt14`
Hence the value of the expression is `12 + 4sqrt2 + 3sqrt7 + sqrt14`
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