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Question
If the arithmetic mean of two numbers a and b, a > b > 0, is five times their geometric mean, then ${{a + b} \over {a - b}}$ is equal to :
${{\sqrt 6 } \over 2}$
${{3\sqrt 2 } \over 4}$
${{7\sqrt 3 } \over {12}}$
${{5\sqrt 6 } \over {12}}$

Solution

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