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Question
Simplify the following:
`(sqrt(3) - sqrt(2))^2`
Solution
`(sqrt(3) - sqrt(2))^2 = (sqrt(3))^2 + (sqrt(2))^2 - 2sqrt(3) xx sqrt(2)` ...[Using identity, (a – b)2 = a2 + b2 – 2ab]
= `3 + 2 - 2sqrt(3 xx 2)`
= `5 - 2sqrt(6)`
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