Prove that AM is greater Than GM.
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In mathematics, the inequality of arithmetic and geometric means, or more briefly the AM–GM inequality, states that the arithmetic mean of a list of non-negative real numbers is greater than or equal to the geometric mean of the same list
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Step-by-step explanation:
Exercise 11 gave a geometric proof that the arithmetic mean of two positive numbers a and b is greater than or equal to their geometric mean. We can also prove this algebraically, as follows. a+b2≥√ab. This is called the AM–GM inequality.
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