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

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If a,b and c are in A.P then `1/(sqrtb+sqrtc), 1/(sqrtc+sqrta), 1/(sqrta+sqrtb)` are in If a,b and c are in A.P then `1/(sqrtb+sqrtc), 1/(sqrtc+sqrta), 1/(sqrta+sqrtb)` 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 AP, then 1/(√a+√b),1/(√a+√c),1/(√b+√c)are in
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.
If a,b,c are in A.P., then prove that the following are also in A.P (i) a^(2)(b+c),b^(2)(c+a),c^... If a,b,c are in A.P., then prove that the following are also in A.P (i) a^(2)(b+c),b^(2)(c+a),c^...
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If a ,\ b ,\ c are positive real numbers, then sqrt(a^(-1)b)\ xx\ sqrt(b^(-1)\ c)\ xx\ sqrt(c^(-... If a ,\ b ,\ c are positive real numbers, then sqrt(a^(-1)b)\ xx\ sqrt(b^(-1)\ c)\ xx\ sqrt(c^(-...
If a, b, c are in A.P., prove that : 1/√(b)+√(c), 1/√(c)+√(a), 1/√(a)+√(b) are also in A.P. If a, b, c are in A.P., prove that : 1/√(b)+√(c), 1/√(c)+√(a), 1/√(a)+√(b) are also in A.P.