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根号a加根号b等于根号2009,求a,b

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根号a加根号b等于根号2009,求a,b
a,b为整数
根号a加根号b等于根号2009,求a,b
2009 = 7*7*41
根号2009 = 7根号41
根号a + 根号b = 根号2009 = 7根号41
(1):根号a = 6根号41;根号b = 根号41
a = 1476;b = 41
(2):根号a = 5根号41;根号b = 2根号41
a = 1025;b = 164
(3):根号a = 4根号41;根号b = 3根号41
a = 656 ;b = 369
(4):根号a = 根号2009;根号b = 0
a = 2009 ;b =0
综上,有4种:
(1476,41)
(1025,164)
(656 ,369)
(2009 ,0)