if g is the geometric mean b/w a and b show that 1/g+a,+ 1/g+b=1/g.

1.	if g is the geometric mean b/w a and b show that 1/g+a,+ 1/g+b=1/g.
Answer» L.H.S. = [1/(ab)1/2+a] + [1/(ab)1/2+b] = [1/a1/2(a1/2 + b1/2)] + [1/b1/2(a1/2 + b1/2)] = (a1/2 + b1/2)/(ab)1/2(a1/2 + b1/2) = 1/(ab)1/2 = 1/g = R.H.S.

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