Prove that a+b 2 22ab for all positive real numbers a and b. Prove that (a+b)(b+c)(c+a)...

 

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Prove that a+b 2 22√ab for all positive real numbers a and b. Prove that (a+b)(b+c)(c+a) ≥ 8abc for all positive real numbers a, b and c. ) Suppose that x, y and are the sides of a triangle. Using the result from part (ii), deduce that xyz 2(y+z-x)(=+x-y)(x+y-z). Prove that a+b 2 22√ab for all positive real numbers a and b. Prove that (a+b)(b+c)(c+a) ≥ 8abc for all positive real numbers a, b and c. ) Suppose that x, y and are the sides of a triangle. Using the result from part (ii), deduce that xyz 2(y+z-x)(=+x-y)(x+y-z).

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i To prove that a b 2 ab for all positive real numbers a and b we can use the AMGM inequality The AMGM inequality states that for any two positive rea... View the full answer