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Question
Write the value of \[\left( 2 + \sqrt{3} \right) \left( 2 - \sqrt{3} \right) .\]
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Solution
Given that
`(2+sqrt3)(2-sqrt3)`
It can be simplified as
`(2+sqrt3)(2-sqrt3) = 2 xx2-2xxsqrt3+2xx sqrt3 - (sqrt3)^2`
` = 4-2sqrt3+2sqrt3 - `
`= 4-3`
` = 1`
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