Question
Answer
$$\dfrac{\sqrt{8}}{3}\sqrt{196}=\dfrac{28\sqrt{2}}{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{8}}{3}\sqrt{196}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{8}}{3}\cdot14 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{2\sqrt{2}}{3}\cdot14 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{28\sqrt{2}}{3}\end{aligned} $$ | |
| ① | $$ \sqrt{196} = 14 $$ |
| ② | $$ \sqrt{8} =
\sqrt{ 2 ^2 \cdot 2 } =
\sqrt{ 2 ^2 } \, \sqrt{ 2 } =
2 \sqrt{ 2 }$$ |
| ③ | $$ \color{blue}{ 2 \sqrt{2} } \cdot 14 = 28 \sqrt{2} $$$$ \color{blue}{ 3 } \cdot 1 = 3 $$ |
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