How can i prove that 12 is the smallest value?

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醉酒成梦
醉酒成梦 2021-02-18 23:51

suppose a+b+c=12
What is the smallest value of sqrt(a²-2a+4)+sqrt(b²-4b+16)+sqrt(c²-6c+36)

a) 10
b) 12

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