Question
Answer
$$\dfrac{5\sqrt{128}}{128}=\dfrac{5\sqrt{2}}{16}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{5\sqrt{128}}{128}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{40\sqrt{2}}{128} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{ 40 \sqrt{ 2 } : \color{blue}{ 8 } } { 128 : \color{blue}{ 8 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{5\sqrt{2}}{16}\end{aligned} $$ | |
| ① | $$ 5 \sqrt{128} =
5 \sqrt{ 8 ^2 \cdot 2 } =
5 \sqrt{ 8 ^2 } \, \sqrt{ 2 } =
5 \cdot 8 \sqrt{ 2 } =
40 \sqrt{ 2 } $$ |
| ② | Divide numerator and denominator by $ \color{blue}{ 8 } $. |
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