计算:(3√6-5√2)/(8-4√3+√6-√2) (分母有理化)

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计算:(3√6-5√2)/(8-4√3+√6-√2) (分母有理化)
计算:(3√6-5√2)/(8-4√3+√6-√2) (分母有理化)

计算:(3√6-5√2)/(8-4√3+√6-√2) (分母有理化)
(3√6-5√2)/(8-4√3+√6-√2)
=(3√6-5√2)/【(√6-√2)²+(√6-√2)】
=(3√6-5√2)/【(√6-√2)(√6-√2+1)】
=(3√6-3√2)/【(√6-√2)(√6-√2+1)】-(2√2)/【(√6-√2)(√6-√2+1)】
=3/【(√6-√2+1)】-2/【(√3-1)(√6-√2+1)】
=3/【(√6-√2+1)】-2(√3+1)/【(√3-1)(√3+1)(√6-√2+1)】
=3/【(√6-√2+1)】-(√3+1)/【(√6-√2+1)】
=(3-√3-1)/(√6-√2+1)
=(3-√3-1)(√6-√2-1)/(√6-√2+1)(√6-√2-1)
=(3-√3-1)(√6-√2-1)/(8-4√3-1)
=(3-√3-1)(√6-√2-1)/(7-4√3)
=(3-√3-1)(√6-√2-1)(7+4√3)/(7-4√3)(7+4√3)
=(3-√3-1)(√6-√2-1)(7+4√3)