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Question
Simplify the following expressions:
`(3 + sqrt3)(3 - sqrt3)`
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Solution
We know that `(a - b)(a + b) = a^2 - b^2`. We will use this property to simplify the expression
`(3 + sqrt3)(3 - sqrt3)`
`∴ (3 + sqrt3)(3 - sqrt3) = (3)^2 - (sqrt3)^2`
`= 3^2 - sqrt3 xx sqrt3`
`= 3 xx 3 - sqrt(3 xx 3)`
`= 9 - (3^2)^(1/2)`
`= 9 - 3^1`
= 6
Hence the value of expression is 6.
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