Q. If a,b,c are in A.P. Show that $\frac{1}{\sqrt{b}+\sqrt{c}}, \frac{1}{\sqrt{c}+\sqrt{a}}, \frac{1}{\sqrt{a}+\sqrt{b}}$  are in A.P

Keta, my method is also same but once expert told me not to do by this method!
You cant assume they are equal before proving them.
That's why I asked this question!