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)-\(\frac{1}{2}\)
Answer & explanation
Correct answer: option 1
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)