立方根32+立方根(2/27)+根号8-立方根125/2=?4根号7+立方根96+立方根7/27-立方根81/2=?
问题描述:
立方根32+立方根(2/27)+根号8-立方根125/2=?4根号7+立方根96+立方根7/27-立方根81/2=?
答
立方根32+立方根(2/27)+根号8-立方根125/2
=2*4^(1/3)+(1/3)*2^(1/3)+2-(5/2)*4^(1/3)
=2-(1/2)*4^(1/3)+(1/3)*2^(1/3).
4根号7+立方根96+立方根(7/27)-立方根(81/2)
=4√7+2*12^(1/3)+(1/3)*7^(1/3)-(3/2)*12^(1/3)
=4√7+(1/2)*12^(1/3)+(1/3)*7^(1/3).