√2/3-(1/6√24-3/2√12)等于
问题描述:
√2/3-(1/6√24-3/2√12)等于
先化简√2/3-(1/6√24-3/2√12),再求它的近似值为( ).(精确到0.01,√2≈1.414,√3≈1.732 快
答
√2/3-(1/6√24-3/2√12)
=√2/3-(√6/3-3√3)
=√2/3-(√2/3-3√3)
=3√3
=5.20
(以上第一项2/3均在根号内)
√2/3-(1/6√24-3/2√12)
=√2/3-√6/3+3√3
=(√2(1-√3)+3√3)/3
=1.39
(以上第一项,3在根号外)