2(lg根号下2)^2+lg根号下2*lg5+根号下[(lg根号下2)^2-lg2+1]
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/15 11:40:43
2(lg根号下2)^2+lg根号下2*lg5+根号下[(lg根号下2)^2-lg2+1]
2(lg根号下2)^2+lg根号下2*lg5+根号下[(lg根号下2)^2-lg2+1]
=2(1/2*lg2)^2+1/2*lg2*lg5+根号下[(1/2*lg2)^2-lg2+1]
=2(1/2*lg2)^2+1/2*lg2*lg5+根号下[(1-1/2*lg2)^2]
=2(1/2*lg2)^2+1/2*lg2*lg5+(1-1/2*lg2)
=1/2*(lg2)^2+1/2*lg2*lg5-1/2lg2+1
=1/2*(lg2)^2+1/2*lg2*(lg5-1)+1
=1/2*(lg2)^2+1/2*lg2*(-lg2)+1
=1/2*(lg2)^2-1/2*(lg2)^2+1
=1
=2(1/2*lg2)^2+1/2*lg2*lg5+根号下[(1/2*lg2)^2-lg2+1]
=2(1/2*lg2)^2+1/2*lg2*lg5+根号下[(1-1/2*lg2)^2]
=2(1/2*lg2)^2+1/2*lg2*lg5+(1-1/2*lg2)
=1/2*(lg2)^2+1/2*lg2*lg5-1/2lg2+1
=1/2*(lg2)^2+1/2*lg2*(lg5-1)+1
=1/2*(lg2)^2+1/2*lg2*(-lg2)+1
=1/2*(lg2)^2-1/2*(lg2)^2+1
=1
2(lg根号下2)^2+lg根号下2*lg5+根号下[(lg根号下2)^2-lg2+1]
1.2(lg根号2)平方+lg根号2*lg5+根号下【(lg根号2)平方-lg2+1】
2lg2+lg5/lg根号下10的具体解法
2(lg根号2)^2+1/2lg2*lg5+根号下(lg根号2-1)^2=?
(lg根号下27+lg8-lg根号下1000)/(1/2lg0.3+lg2)
化简:(1)4lg2+3lg5-lg五分之一,(2)(lg根号下27+lg8-lg根号下1000)比上(lg1.2)
lg5*lg800+lg根号下32/1.25+(lg2^根号3)^2-lg0.00032
求化简 2(lg根号2)的方+lg根号2乘以lg根号5+根号下((lg根号2)方-lg2+1)
1.2(lg根号2)的平方+lg根号2乘以lg根号5+根号下((lg根号2)平方-lg2+1)
lg根号下3/5 +1/2lg5/3=?
2(lg根号下2)^2+(lg根号下2)(lg5)+|lg根号下2-(log2底5)(log5底2)|=?
2(lg根号2)平方+lg根号2*lg5+根号[(lg根号2)平方-lg2+1]