关于二次根式的一道题
若a b c均为正整数,且√a-√28的差(a-√28是√内的)=√b-√c,求a+b+c的算术平方根
人气:315 ℃ 时间:2020-03-29 14:55:45
解答
(√b-√c)^2=b+c-2√bc=a-√28
b+c=a
bc=7
若bc皆为整数,则b+c=1+7=8
√(a+b+c)=√2a=√16=4
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