求三道题题的答案(二次根式)

1个回答

  • 解1题:

    原式=√(10x×10负1次方y×100z)

    =√[10x×(y/10)×100z]

    =√(100xyz)

    =10√(xyz)

    解2题:

    原式=√(5/3)÷√(7/3)×√(7/5)

    =√(5/3÷7/3×7/5)

    =√(5/3×3/7×7/5)

    =√1

    =1

    解3题:

    原式=[(√3a)/(2b)]×[√(b/a)÷2√(1/b)]

    =[1/(2b)÷2]×√[3a×(b/a)÷(1/b)]

    =[1/(4b)]×√[3a×(b/a)×b]

    =[1/(4b)]×√(3b²)

    =[1/(4b)]×b√3

    =(√3)/4