√8/27怎么化简把过程写出来谢谢,(√是根号).

问题描述:

√8/27怎么化简把过程写出来谢谢,(√是根号).

√8/27=√[(2*4)/(9*3)]=(√4/9)*(√2/3)=2/3√2/3=2/3√[(2*3)/(3*3)]=(2/3)*(1/3)√2*3=(2/9)√6

√8/27=√4*6/81=2/9√6

√8/27
=√8/√27
=√4*2/√9*3
=2√2/3√3
=2/3*√2*√3/√3*√3
=2/3*√6/3
=2*√6/3*3
=2/9*√6

√8/27=2√2/3√3=2√6/9

√8/27=√8/√27 = 2√2 / 3√3=2/9)√6
我觉得只能这样简化了

√8/27=√[(8*3)/(27*3)]=√(4*6)/81=(2/9)√6

分母有理化

√8/27=√2/3*√4/9==2/3*√2/3=2/3*√2*3/3.3=2/9√6

有理化分母√8/27=√[(2*4)/(9*3)]=(√4/9)*(√2/3)=2/3√2/3=2/3√[(2*3)/(3*3)]=(2/3)*(1/3)√2*3=(2/9)√6

√2*2^2/3*3^2 =√(2/3)*(2/3)^2=2/3√(2/3)