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., prove that : 1/(sqrtb+sqrtc), 1/(sqrtc+sqrta), 1/(sqrta+sqrtb) are also in A.P.

Three positive numbers a,b,c are in A.P prove that 1/(sqrtb+sqrtc) , 1/(sqrtc+sqrta) and 1/(sqrta+sqrtb) are aslo in A.P

If a, b, c are in A.P., prove that frac(1)(sqrtb+sqrtc),frac(1)(sqrtc+sqrta),frac(1)(sqrta+sqrtb) are also in A.P.

(sqrta + sqrtb)^2 = ?

(sqrta+sqrtb)(sqrta -sqrtb) =__

If a,b,c are in AP show that (i) 1/(bc) ,1/(ca),1/(ab) are in AP.

If a,b,c are in A.P. show that a((1)/(b)+(1)/(c)),b((1)/(c)+(1)/(a)), c((1)/(a)+(1)/(b)) are in A.P.

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

If a. b, c are in A.P, then show that 1/(bc) , 1/(ca) , 1/(ab) are also in A.P.

If a, b, c are In A.P., then show that, (1)/(b c), (1)/(c a), (1)/(a b) are in A.P.