设ab是有理数,并且ab满足等式a+2b+根号2b=-5×根号2 求a+b的平方根
人气:499 ℃ 时间:2019-08-19 16:52:54
解答
a+2b+根号2b=-5×根号2
即(a+2b)+b√2=-5√2
因为a,b为有理数,所以只能a+2b=0且b=-5
所以a=10 b=-5
所以a+b=5,其平方根为 ±√5
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