Question
If $$\sqrt {1369} + \sqrt {0.0615 + x} $$ = 37.25, the x is equal to ?
Answer: Option C
$$\eqalign{
& \Leftrightarrow 37 + \sqrt {0.0615 + x} = 37.25 \cr
& \Leftrightarrow \sqrt {0.0615 + x} = 0.25 \cr
& \Leftrightarrow 0.0615 + x = {\left( {0.25} \right)^2} = 0.0625 \cr
& \Leftrightarrow x = 0.001 \cr
& \Leftrightarrow x = \frac{1}{{{{10}^3}}} \cr
& \Leftrightarrow x = {10^{ - 3}} \cr} $$
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$$\eqalign{
& \Leftrightarrow 37 + \sqrt {0.0615 + x} = 37.25 \cr
& \Leftrightarrow \sqrt {0.0615 + x} = 0.25 \cr
& \Leftrightarrow 0.0615 + x = {\left( {0.25} \right)^2} = 0.0625 \cr
& \Leftrightarrow x = 0.001 \cr
& \Leftrightarrow x = \frac{1}{{{{10}^3}}} \cr
& \Leftrightarrow x = {10^{ - 3}} \cr} $$
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