上下同乘以括号3加2倍根号2括号,就可以了
是不是根号2加上 (1除以3减2倍根号2啊)
如果是 答案是:3加3倍根号2
因为(1除以3减2倍根号2)等于3加2倍根号2 由分母实数化 得来 分子分母同事乘以(3加2倍根号2)
觉得对就给分哈
多谢
(√2+1)/(3-2√2)
=(√2+1)/(2-2√2+1)
=(√2+1)/[(√2)^2-2√2+1]
=(√2+1)/(√2-1)^2
=(√2+1)^3/[(√2-1)(√2+1)]^2
=(√2+1)^3/[2-1]^2
=(√2+1)^3
=2√2+3√2+6+1
=5√2+7
(√2+1)÷(3-2√2)
=(√2+1)÷(2-2√2+1)
=(√2+1)÷(√2-1)^2
=(√2+1)^3【分母有理化,分子分母同乘√2+1】
=(2√2+6+3√2+1)
=7+5√2
(√2+1)/(3-2√2)
分子分母同时*(3+2√2)
得到:(√2+1)(3+2√2)/(3-2√2)(3+2√2)
=(5√2+7)/(9-8)
=5√2+7