\(\frac{5√3}{6}\)
\(\frac{3√15}{6}\)
\(\frac{5√6}{12}\)
\(\frac{5√3}{12}\)
Correct answer is C
(\(\frac{3√6}{√5} + \frac{√54}{3√5}\))\(^{-1}\)
= \(\frac{√5(3√5)}{3√6 + 3√6}\)
= \(\frac{3*5}{6√6} = \frac{5}{2√6}\)
= \(\frac{5*2√6}{2√6+2√6} = \frac{10√6}{4*6}\)
= \(\frac{5√6}{12}\)