Question

root 0.009 * root 0.036 * root 0.016 * root 0.08 / root 0.002 * root 0.0008 * root 0.0002 is equal to ? (explain each step)

Answer 1

$$\begin{gathered} \frac{\sqrt{0.009}\times \sqrt{0.036}\times \sqrt{0.016}\times \sqrt{0.08}}{\sqrt{0.002}\times \sqrt{0.0008}\times \sqrt{0.0002}} \\ =\frac{\sqrt{{\displaystyle \frac{9}{1000}}}\times \sqrt{{\displaystyle \frac{36}{1000}}}\times \sqrt{{\displaystyle \frac{16}{1000}}}\times \sqrt{{\displaystyle \frac{8}{100}}}}{\sqrt{{\displaystyle \frac{2}{1000}}}\times \sqrt{{\displaystyle \frac{8}{10000}}}\times \sqrt{{\displaystyle \frac{2}{10000}}}} \\ =\frac{3\times 6\times 4\times 2\sqrt{2}}{2\times 2\sqrt{2}}=36\mathrm{ANS}... \end{gathered}$$