Given that $$\sqrt {13} = 3.605$$   and $$\sqrt {130} = 11.40{\text{,}}$$   find the value of $$\sqrt {1.30} $$  $$ + $$ $$\sqrt {1300} $$  $$ + $$ $$\sqrt {0.0130} $$   = ?

Solution (By Examveda Team)

$$\eqalign{ & {\text{Given expression,}} \cr & \sqrt {1.30} + \sqrt {1300} + \sqrt {0.0130} \cr & = \sqrt {\frac{{130}}{{100}}} + \sqrt {13 \times 100} + \sqrt {\frac{{130}}{{10000}}} \cr & = \frac{{\sqrt {130} }}{{10}} + \sqrt {13} \times 10 + \frac{{\sqrt {130} }}{{100}} \cr & = \frac{{11.40}}{{10}} + 3.605 \times 10 + \frac{{11.40}}{{100}} \cr & = 1.14 + 36.05 + 0.114 \cr & = 37.304 \cr} $$