若a>0,b>0,ab≥1+a+b,則a+b的最小值為_
若a>0,b>0,ab≥1+a+b,則a+b的最小值為______
優(yōu)質(zhì)解答
1+a+b≤ab≤(
)
2,
∴(a+b)
2-4(a+b)-4≥0.
∴a+b≤
或a+b≥
.
∵a>0,b>0,
∴a+b≥2+2
;
故答案為2+2
.
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