Answer to Question #21835 in Analytic Geometry for raghav gupta

Question #21835

two circles with radii a and b respectively touch each other externally and a smaller circle with radius c touch both the circles and also the common tanjent to the two circles,then prove that:
{(1/a)^0.5} +{(1/b)^0.5} ={(1/c)^0.5}

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