Q. 193.7( 52 Votes )

The ratio of the A.M. and G.M. of two positive numbers a and b, is m : n. Show that


Answer :

Here, the two numbers are a and b.


Arithmetic Mean = AM = (a + b)/2


& Geometric Mean = GM = √(ab)


According to question -




Applying component dividend







Applying Component Dividend





Squaring both sides






Hence, Proved.


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