Find the square root of 0.01 + $\sqrt{0.0064}$.

$0.01 + \sqrt{0.0064}\\[1em] = 0.01 + \sqrt{\dfrac{64}{10000}}\\[1em] = 0.01 + {\dfrac{\sqrt{64}}{\sqrt{10000}}}\\[1em] = 0.01 + {\dfrac{8}{100}}\\[1em] = 0.01 + 0.08\\[1em] = 0.09$

Hence, 0.01 + $\sqrt{0.0064} = 0.09$