填空:(1)(√6+√5)^2009x(√6-√5)^2010=( )(2)若丨a-1丨+(b+2)²=0,那么-a/b的算术平方根是( ) 化简:(直接写结果)(3)√5x√10=( )(4)√12x√3-3√2=( ) (5)
填空:(1)(√6+√5)^2009x(√6-√5)^2010=( )(2)若丨a-1丨+(b+2)²=0,那么-a/b的算术平方根是( ) 化简:(直接写结果)(3)√5x√10=( )(4)√12x√3-3√2=( ) (5)3√3+√27/√3=( ) (6)(3-√6)(2+√6)=( ) 计算(要有过程):(1)√1/5÷1/2√20-5/4√4/5+√45 (2)√12+√27/√3-(√3+√2)(√3-√2) (3) (3√18+1/5√50-4√1/2)÷√32 (4)(4√6-4√1/2+3√8)÷2√2 (5)√2(√2+1/√2)-√18-√8/√2 (6) (√12-√1/2-2√1/3)-(√1/8-√18)
(1)(√6+√5)^2009x(√6-√5)^2010=(√6+√5)^2009x(√6-√5)^2009*(√6-√5)=√6-√5
(2)2/根号2(3)5根号2(4)3(2-根号2)(5)3(根号3+1)
(6)(3-√6)(2+√6)=(1+2-√6)(2+√6)=(2+√6)*1+(2-√6)(2+√6)=2+√6-2=√6
(1)√1/5÷1/2√20-5/4√4/5+√45 =√1/5÷√1/5-√5/2+3√5=1+5/2√5
(2)√12+√27/√3-(√3+√2)(√3-√2)=2√3+3-3+2=2√3+2
(3)(3√18+1/5√50-4√1/2)÷√32 =(1/√2+√2-2√2)÷4√2=1/8+1/4-1/2=-1/8
(4)(4√6-4√1/2+3√8)÷2√2 =2√3-1+3=2+2√3
(5))√2(√2+1/√2)-√18-√8/√2=2+1-3√2-2=1-3√2
(6)(√12-√1/2-2√1/3)-(√1/8-√18)=√12-√1/2-2√1/3-√1/8+√18=2√3-√2/2-2/3*√3-√2/4=4/3*√3-3√2/4