6. Show that if a and b are real numbers, the arithmetic mean of a and...

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6. Show that if a and b are real numbers, the arithmetic mean of a and b? and is greater than or equal to the absolute value of their geometric means. (Hint: (a - b)² 20 and (a + b)? 2 0) 6. Show that if a and b are real numbers, the arithmetic mean of a and b? and is greater than or equal to the absolute value of their geometric means. (Hint: (a - b)² 20 and (a + b)? 2 0)