(3-根号3+根号6)(根号3+1-根号2)求学霸正解

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(3-根号3+根号6)(根号3+1-根号2)求学霸正解

(3-根号3+根号6)(根号3+1-根号2)求学霸正解
(3-根号3+根号6)(根号3+1-根号2)求学霸正解

(3-根号3+根号6)(根号3+1-根号2)求学霸正解
(3-根号3+根号6)(根号3+1-根号2)
=根号3(根号3-1+根号2)(根号3+1-根号2)
=根号3【3-(1-根号2)的平方】
=根号3【3-1+2根号2-2】
=根号3*2根号2
=2根号6

=√3(√3-1+√2)(√3+1-√2)
=√3[√3-(1-√2)][√3+(1-√2)]
=√3[3-(1-√2)²]
=√3[3-(3-2√2)]
=√3×2√2
=2√6

原式=√3(√3-1+√2)(√3+1-√2)
=√3[√3-(1-√2)][√3+(1-√2)]
=√3[3-(1-√2)²]
=√3(3-1+2√2-2)
=√3*2√2
=2√6