求50道二次根式计算题，要详细过
①5√8-2√32 √50 =5*3√2-2*4√2 5√2 =√2(15-8 5) =12√2 ②√6-√3/2-√2/3 =√6-√6/2-√6/3 =√6/6 ③(√45 √27)-(√4/3 √125) =(3√5 3√3)-(2√3/3 5√5) =-2√5 7√5/3 ④(√4a-√50b)-2(√b/2 √9a) =(2√a-5√2b)-2(√2b/2 3√a) =-4√a-6√2b ⑤√4x*(√3x/2-√x/6) =2√x(√6x/2-√6x/6) =2√x*(√6x/3) =2/3*|x|*√6 ⑥(x√y-y√x)÷√xy =x√y÷√xy-y√x÷√xy =√x-...全部
①5√8-2√32 √50 =5*3√2-2*4√2 5√2 =√2(15-8 5) =12√2 ②√6-√3/2-√2/3 =√6-√6/2-√6/3 =√6/6 ③(√45 √27)-(√4/3 √125) =(3√5 3√3)-(2√3/3 5√5) =-2√5 7√5/3 ④(√4a-√50b)-2(√b/2 √9a) =(2√a-5√2b)-2(√2b/2 3√a) =-4√a-6√2b ⑤√4x*(√3x/2-√x/6) =2√x(√6x/2-√6x/6) =2√x*(√6x/3) =2/3*|x|*√6 ⑥(x√y-y√x)÷√xy =x√y÷√xy-y√x÷√xy =√x-√y ⑦(3√7 2√3)(2√3-3√7) =(2√3)^2-(3√7)^2 =12-63 =-51 ⑧(√32-3√3)(4√2 √27) =(4√2-3√3)(4√2 3√3) =(4√2)^2-(3√3)^2 =32-27 =5 ⑨(3√6-√4)2 =(3√6)^2-2*3√6*√4 (√4)^2 =54-12√6 4 =58-12√6 ⑩(1 √2-√3)(1-√2 √3) =[1 (√2-√3)][1-(√2-√3)] =1-(√2-√3)^2 =1-(2 3 2√6) =-4-2√61。
?5√5 - 1/25√5 - 4/5√5 =√5*(5-1/25-4/5) =24/5√5 2。 √144 576 =√720 =12√5 3。 √(8/13)^2-(2/13)^2 = √(8/13 2/13)(8/13-2/13) =(2/13)√15 1。
(√3-√2)(√6 √5)2。(√2-√5)^23。(√6-√3)(-√3-√6)4。(3√18 1/5√50-4√1/2)÷√325。(π-1)^0 (-1/2)^-1 l5-√27l-2√36。
3/√3 11。3√(1/6)-4√(50) 30√(2/3) ?=3√(1/6)-4√(50) 30√(2/3) ?= 3×√6/6-4×5√2 30×√6/3 ?=√6/2-20√2 10√6 2。
(1-根号2)/2乘以(1 根号2)/2 题是这样的二分之一减根号2乘以二分之一加根号2 =(1-根号2)/2乘以(1 根号2)/2 =(1-√2)*(1-√2)/4 =(1-2)/4 =-1/4 3。
√(1/2x)^2 10/9x^2 √[(1/2x)^2 10/9x^2] =√(x^2/4 10x^2/9) =√(9x^2/36 40x^2/36) =√(49x^2/36) =7x/6 。
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