化简(8+2根号5-根号10-根号6)/(根号5+根号3-根号2)
来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/11/10 12:17:15
化简(8+2根号5-根号10-根号6)/(根号5+根号3-根号2)
分子上是根号15,
分子上是根号15,
[8 + 2(15)^(1/2) - (10)^(1/2) - 6^(1/2)]/[5^(1/2) + 3^(1/2) - 2^(1/2)]
= {3 + 2(15)^(1/2) + 5 - 2^(1/2)[5^(1/2) + 3^(1/2)]}/[5^(1/2) + 3^(1/2) - 2^(1/2)]
= {[3^(1/2) + 5^(1/2)]^2 - 2^(1/2)[5^(1/2) + 3^(1/2)]}/[5^(1/2) + 3^(1/2) - 2^(1/2)]
= [3^(1/2) + 5^(1/2)][3^(1/2) + 5^(1/2) - 2^(1/2)]/[5^(1/2) + 3^(1/2) - 2^(1/2)]
= 3^(1/2) + 5^(1/2)
---------------
分子上是根号15吧.
= {3 + 2(15)^(1/2) + 5 - 2^(1/2)[5^(1/2) + 3^(1/2)]}/[5^(1/2) + 3^(1/2) - 2^(1/2)]
= {[3^(1/2) + 5^(1/2)]^2 - 2^(1/2)[5^(1/2) + 3^(1/2)]}/[5^(1/2) + 3^(1/2) - 2^(1/2)]
= [3^(1/2) + 5^(1/2)][3^(1/2) + 5^(1/2) - 2^(1/2)]/[5^(1/2) + 3^(1/2) - 2^(1/2)]
= 3^(1/2) + 5^(1/2)
---------------
分子上是根号15吧.
化简(8+2根号5-根号10-根号6)/(根号5+根号3-根号2)
根号2、根号3、根号5、根号6、根号7、根号8、根号10等根号20以内的约数
(根号1+根号2+根号3+根号4+根号5+根号6+根号7+根号8+根号9+根号10)÷2
根号1+根号2+根号3+根号4+根号5+根号6+根号7+根号8+根号9+根号10等于多少
化简:根号5+根号3减根号2/8+2根号15+根号10减根号6
(5+根号6+根号10+根号15)除以(根号2+根号3+根号5)
1*根号2*根号3*根号5*根号6*根号7*根号8
化简 根号8+根号18 2根号12+根号48 3根号20-根号45-根号5分之1 根号9分之2+根号50-根号32
计算:(8+2根号15-根号10-根号6)/(根号5+根号3-根号2)
计算:1.根号3+2倍根号5+根号7/(根号3+根号5)(根号5+根号7)+根号7+根号11+6/(根号7+3)(根号1
化简 1.(跟号3+根号5)除以(3-根号6-根号10+根号15) 2.2根号6除以(根号2+根号3+根号5)
求根号2,根号3,根号5,根号6,根号7,根号8,根号9,根号10的近似值(保存三位小数)及规律,用数学式子表达