If \( a, b, c \) are in A.P, then show that \( \frac{1}{\sqrt{b}+\sqrt{c}}, \frac{1}{\sqrt{c}+\s...

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If \( a, b, c \) are in A.P, then show that \( \frac{1}{\sqrt{b}+\sqrt{c}}, \frac{1}{\sqrt{c}+\sqrt{a}}, \frac{1}{\sqrt{a}+\sqrt{b}} \) are also in A.P.
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