If a, b, c are in A.P., prove that : 1/√(b)+√(c), 1/√(c)+√(a), 1/√(a)+√(b) are also in A.P.

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If a, b, c are in AP, then 1/(√a+√b),1/(√a+√c),1/(√b+√c)are in If a, b, c are in AP, then 1/(√a+√b),1/(√a+√c),1/(√b+√c)are in
If a,b, c are in A.P. Show that 1/bc, 1/ca, 1/ab are in A.P. | Arithmetic Progression | Sequence If a,b, c are in A.P. Show that 1/bc, 1/ca, 1/ab are in A.P. | Arithmetic Progression | Sequence
If a,b,c are in AP, show that `1/((sqrtb+sqrtc)),1/((sqrtc+sqrta)),1/((sqrta+sqrtb))` are in AP. If a,b,c are in AP, show that `1/((sqrtb+sqrtc)),1/((sqrtc+sqrta)),1/((sqrta+sqrtb))` are in AP.
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