(\(\frac{3\sqrt6 + \sqrt{54}}{\sqrt5(3\sqrt5)})^{-1}\)
- \(\frac{5√3}{6}\)
- \(\frac{3√15}{6}\)
-
\(\frac{5√6}{12}\)
- \(\frac{5√3}{12}\)
The correct answer is: C
Explanation
(\(\frac{3\sqrt6 + \sqrt{54}}{\sqrt5(3\sqrt5)})^{-1}\)
= \(\frac{√5(3√5)}{3√6 + 3√6}\)
= \(\frac{3*5}{6√6} = \frac{5}{2√6}\)
= \(\frac{5*2√6}{2√6+2√6} = \frac{10√6}{4*6}\)
= \(\frac{5√6}{12}\)