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if g is the geometric mean …

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

  • 1 answers

Rashmi Bajpayee 9 years, 1 month ago

L.H.S. = [1/(ab)1/2+a] + [1/(ab)<font size="2">1/2</font>+b] = [1/a1/2(a1/2 + b1/2)] + [1/b<font size="2">1/2</font>(a<font size="2">1/2</font> + b<font size="2">1/2</font>)]

           = (a1/2 + b1/2)/(ab)1/2(a<font size="2">1/2</font> + b<font size="2">1/2</font>)

           = 1/(ab)1/2

           = 1/g

           = R.H.S.

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