Question

Simplify : $\sqrt{1600}+\sqrt{0.16}+\sqrt{0.000016}$

Answer 1

$\sqrt{1600}+\sqrt{0.16}+\sqrt{0.000016}=\sqrt{4^2\times {10}^2}+\sqrt{4^2\times {10}^{-2}}+\sqrt{4^2\times {10}^{-6}}$

$=(4\times 10)+(4\times {10}^{-1})+(4\times {10}^{-3})$

$=40+0.4+0.004=40.404$