化简 [a^(1/2)-b^(1/2)] / [a^(1/2)+b^(1/2)]+[a^(1/2)+b^(1/2)]/ [a^(1/2)-b^(1/2)]

来源：学生作业帮助网编辑：六六作业网时间：2024/11/24 13:49:26

化简[a^(1/2)-b^(1/2)]/[a^(1/2)+b^(1/2)]+[a^(1/2)+b^(1/2)]/[a^(1/2)-b^(1/2)]化简[a^(1/2)-b^(1/2)]/[a^(1/2

化简 [a^(1/2)-b^(1/2)] / [a^(1/2)+b^(1/2)]+[a^(1/2)+b^(1/2)]/ [a^(1/2)-b^(1/2)]
化简 [a^(1/2)-b^(1/2)] / [a^(1/2)+b^(1/2)]+[a^(1/2)+b^(1/2)]/ [a^(1/2)-b^(1/2)]

化简 [a^(1/2)-b^(1/2)] / [a^(1/2)+b^(1/2)]+[a^(1/2)+b^(1/2)]/ [a^(1/2)-b^(1/2)]
通分
原式={[a^(1/2)-b^(1/2)]^2+[a^(1/2)+b^(1/2)]^2/[a^(1/2)+b^(1/2)] [a^(1/2)-b^(1/2)]
=[a-2a^(1/2)b^(1/2)+b+a+2a^(1/2)b^(1/2)+b]/(a-b)
=(2a+2b)/(a-b)