If a,b and c are in A.P then `1/(sqrtb+sqrtc), 1/(sqrtc+sqrta), 1/(sqrta+sqrtb)` are in

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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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