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Given that $$\sqrt {13} = 3.605$$ and $$\sqrt {130} = 11.40{\text{,}}$$ find the value of $$\sqrt {1.30} $$ $$ + $$ $$\sqrt {1300} $$ $$ + $$ $$\sqrt {0.0130} $$ = ?
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& {\text{Given expression,}} \cr
& \sqrt {1.30} + \sqrt {1300} + \sqrt {0.0130} \cr
& = \sqrt {\frac{{130}}{{100}}} + \sqrt {13 \times 100} + \sqrt {\frac{{130}}{{10000}}} \cr
& = \frac{{\sqrt {130} }}{{10}} + \sqrt {13} \times 10 + \frac{{\sqrt {130} }}{{100}} \cr
& = \frac{{11.40}}{{10}} + 3.605 \times 10 + \frac{{11.40}}{{100}} \cr
& = 1.14 + 36.05 + 0.114 \cr
& = 37.304 \cr} $$
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