Answer
$$\frac{2\sqrt{8}}{32}=\frac{\sqrt{2}}{8}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{2\sqrt{8}}{32}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{4\sqrt{2}}{32} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{\sqrt{2}}{8}\end{aligned} $$ | |
| ① | $$ 2 \sqrt{8} =
2 \sqrt{ 2 ^2 \cdot 2 } =
2 \sqrt{ 2 ^2 } \, \sqrt{ 2 } =
2 \cdot 2 \sqrt{ 2 } =
4 \sqrt{ 2 } $$ |
| ② | Divide both numerator and denominator by 4. |
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