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The ratio of the A.M. and G.M. of two po...

The ratio of the A.M. and G.M. of two positive numbers a and b, is m : n. Show that `a:b =(m+sqrt(m^2-n^2)):(m-sqrt(m^(2)-n^2))` .

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`m+ sqrt(m^(2)-n^(2)): m- sqrt(m^(2)-n^(2))`
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KUMAR PRAKASHAN-SEQUENCE AND SERIES-Miscellaneous Exercise
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