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Mathematics 8 Online
OpenStudy (anonymous):

a,b and c real numbers Prove (a+b+c)² <= 3(a²+b²+c²)

OpenStudy (joannablackwelder):

@nincompoop Thoughts?

OpenStudy (anonymous):

ok

OpenStudy (joannablackwelder):

I'm not sure other than proving by examples. How thoroughly are you expected to prove this?

OpenStudy (anonymous):

?

OpenStudy (anonymous):

anything

OpenStudy (joannablackwelder):

I can't find any values for a, b, and c that disprove it. Plug in numbers.

OpenStudy (anonymous):

it's hardy

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