What will be the value of

\(\frac{1 + a}{(a)^\frac{1}{2}+ (a)^\frac{-1}{2}}\) - \(\frac{(a)^\frac{1}{2} + (a)^\frac{-1}{2}}{1 + a}\) + (a)^{-\(\frac{1}{2}\)}

\(\sqrt {a}\)

All options are in under root of a so put the value of a = square of any number

Let a = 4

So, \(\frac{1 + 4}{\sqrt {4} + \frac{1}{\sqrt {4}}}\) - \(\frac{\sqrt {4} + \frac{1}{\sqrt {4}}}{1 + 4}\) + \(\frac{1}{\sqrt {4}}\)

= \(\frac{5}{2.5}\) - \(\frac{2.5}{5}\) + \(\frac{1}{2}\)

= \(\frac{5}{2.5}\)

= 2

Satisfy from option

Take option a = \(\sqrt {a}\)

                   = \(\sqrt {4}\) = 2 (Satisfied)