
括号二减根号三括号2017次方乘括号二加根号三括号2019次方减2×1-2分之根号三括号?
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2020-02-13 · 知道合伙人教育行家
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(2-√3)^2017 × (2+√3)^2019 - 2×(1-√3/2)
= (2-√3)^2017 × (2+√3)^(2017+2) - (2-√3)
= (2-√3)^2017 × (2+√3)^2017 × (2+√3)² - (2-√3)
= [ (2-√3) × (2+√3) ]^2017 × (4+2√3) - (2-√3)
= [ 4-3 ]^2017 × (4+2√3) - (2-√3)
= 1^2017 × (4+2√3) - (2-√3)
= 1×(4+2√3) - (2-√3)
= 4+2√3 - 2+√3
= 2 + 3√3
= (2-√3)^2017 × (2+√3)^(2017+2) - (2-√3)
= (2-√3)^2017 × (2+√3)^2017 × (2+√3)² - (2-√3)
= [ (2-√3) × (2+√3) ]^2017 × (4+2√3) - (2-√3)
= [ 4-3 ]^2017 × (4+2√3) - (2-√3)
= 1^2017 × (4+2√3) - (2-√3)
= 1×(4+2√3) - (2-√3)
= 4+2√3 - 2+√3
= 2 + 3√3
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