计算(根号5+根号3-根号2)x(根号5-根号3+根号2)

来源:百度知道 编辑:UC知道 时间:2024/06/18 14:12:41
要过程。

(√5+√3-√2)*(√5-√3+√2)
=[√5+(√3-√2)]*[√5-(√3-√2)]
=(√5)^2 -(√3-√2)^2
=5-(3+2-2√6)
=2√6

[√5+(√3-√2)]*[√5-(√3-√2)]
=(√5)^2 -(√3-√2)^2
=5-3+2(√3)(√2)-5
=2(√3)(√2)=2*1.732*1.414=4.898

(根号5+根号3-根号2)x(根号5-根号3+根号2)
=[根号5+(根号3-根号2)]x[根号5-(根号3-根号2)]
=√5∧2-(根号3-根号2)∧2
=√5∧2-[√3∧2-2√3√2+√2∧2]
=5-[3-2√3√2+2]
=2√6