If $\sqrt{784} = 28$, find the value of $\sqrt{0.0784} + \sqrt{0.000784}$

$\sqrt{0.0784} + \sqrt{0.000784}\\[1em] = \sqrt{\dfrac{784}{10000}} + \sqrt{\dfrac{784}{1000000}}\\[1em] = {\dfrac{\sqrt{784}}{\sqrt{10000}}} + {\dfrac{\sqrt{784}}{\sqrt{1000000}}}\\[1em] = {\dfrac{28}{100}} + {\dfrac{28}{1000}}\\[1em] = 0.28 + 0.028\\[1em] = 0.308$

$\sqrt{0.0784} + \sqrt{0.000784} = 0.308$