\(\frac{(\sqrt {3} + \sqrt {5})(\sqrt {5} + \sqrt {2})}{\sqrt {2} + \sqrt {3} + \sqrt {5}}\) = ?

\(\frac{1}{2}\)(\(\sqrt {2}\) + \(\sqrt {3}\) + \(\sqrt {5}\))

We know that \(\sqrt {3}\) = 1.7

                     \(\sqrt {2}\) = 1.4

                    \(\sqrt {5}\) = 2.2

Now use approximation ⇒ Put all values in question ⇒

\(\frac{(1.7 + 2.2) × (1.4 + 2.2)}{(1.7 + 1.4 + 2.2)}\)

\(\frac{3.9 × 3.6}{5.4 (approx)}\)

⇒ 2.6

Take option D ⇒ \(\frac{1}{2}\) (1.4 + 1.7 + 2.2)

                    = \(\frac{5.3}{2}\) = 2.6  (satisfied)