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Zidis
@Zidis
July 2022
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(a+b)(a+2)(b+2)>=16ab Докажите неравенство!
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anutazhukova16
Т
ак как a и b неотрицательны, то
a+2>=2*sqrt(a*2)
b+2>=2*sqrt(b*2)
a+b>=2*sqrt(a*b)
Перемножая эти неравенства, получим требуемое неравенство...
14 votes
Thanks 5
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Answers & Comments
a+2>=2*sqrt(a*2)
b+2>=2*sqrt(b*2)
a+b>=2*sqrt(a*b)
Перемножая эти неравенства, получим требуемое неравенство...