Rndom Radicals

Algebra Level 3

If a a b b and c c are positive real numbers with a + b + c = 6 a+b+c = 6 find the maximum value of ( a + b c ) ( b + a c ) ( c + a b ) + a b c (a+ \sqrt{bc})(b+\sqrt{ac})(c+\sqrt{ab}) + abc


The answer is 72.

Sagnik Saha by Sagnik Saha , 23, India

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1 solution

Vraj Mehta
Jan 15, 2015

Put x=2,as it is Symettrirc Equation..

2 Helpful 0 Interesting 0 Brilliant 0 Confused

You call that a solution?

Ayush Garg - 6 years, 2 months ago

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Pretty true Mr.!!

Kevin Kakkad - 5 years, 4 months ago

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