What is the value of $$\frac{{\sqrt {29.16} }}{{\sqrt {1.1664} }} + \frac{{\sqrt {0.2916} }}{{\sqrt {116.64} }} + \frac{{\sqrt {0.0036} }}{{\sqrt {0.36} }}\,?$$

Solution(By Examveda Team)

$$\eqalign{ & \frac{{\sqrt {29.16} }}{{\sqrt {1.1664} }} + \frac{{\sqrt {0.2916} }}{{\sqrt {116.64} }} + \frac{{\sqrt {0.0036} }}{{\sqrt {0.36} }}\, \cr & = \frac{{5.4}}{{1.08}} + \frac{{0.54}}{{10.8}} + \frac{{0.06}}{{0.6}} \cr} $$

\[\left[ \begin{gathered} \because \sqrt {294} = 54 \hfill \\ \sqrt {11664} = 108 \hfill \\ \sqrt {36} = 6 \hfill \\ \end{gathered} \right.\]

$$\eqalign{ & = \frac{{540}}{{108}} + \frac{{54}}{{1080}} + \frac{6}{{60}} \cr & = 5 + \frac{1}{{20}} + \frac{1}{{10}} \cr & = \frac{{103}}{{20}} \cr} $$