将下列根式化成最简二次根式?4乘√1又12分之一a乘√a分之1a分之b乘√ab分之16分之一乘√3分之4X的平方乘√8X

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  • 4乘√1又12分之一

    =4√(13/12)

    =4√(13*3/12*3)

    =4√39/6

    =2√39/3

    a乘√a分之1

    =√a

    a分之b乘√ab分之1

    =b/a*√(1/ab)

    =1/a*√(b^2/ab)

    =1/a*√(b/a)

    =1/a*√(ab/a^2)

    =√(ab)/a^2

    6分之一乘√3分之4

    =1/6*√(4/3)

    =1/6*√(4*3/3*3)

    =1/6*2√3/3

    =√3/9

    X的平方乘√8X的三次方分之1

    =x^2*√(1/8x^3)

    =√(x^4/8x^3)

    =√(x/8)

    =√(2x/8*2)

    =√(2x)/4

    6乘√8分之1

    =6*√(1/8)

    =6*√(1*2/8*2)

    =6√2/4

    =3√2/2

    27分之一乘√3分之1

    =1/27*√(1/3)

    =1/27*√(1*3/3*3)

    =1/27*√3/3

    =√3/81

    10乘√1又5分之4

    =10√(9/5)

    =30√(1/5)

    =30√(1*5/5*5)

    =30√5/5

    =6√5

    5分之1乘√3a分之8b

    =1/5*√(8b/3a)

    =1/5*√(8b*3a/3a*3a)

    =1/5*2√(6ab)/3a

    =2√(6ab)/15a

    √3的平方分之1 + 4的平方分之1

    =√(1/3^2)+√(1/4^2)

    =1/3+1/4

    =7/12

    √(25m的立方+50m的平方)

    =√[25m^2(m+2)]

    =5m√(m+2)