Question
Answer
$$\sqrt{\dfrac{640}{25}}=\dfrac{8}{5}\sqrt{10}$$
Explanation
| $$ \begin{aligned}\sqrt{\frac{640}{25}}& \xlongequal{ }\frac{1}{5}\sqrt{640} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{8}{5}\sqrt{10}\end{aligned} $$ | |
| ① | $$ \frac{ 1 }{ 5 } \sqrt{ 640 } =
\frac{ 1 }{ 5 } \sqrt{ 8 ^2 \cdot 10 } =
\frac{ 1 }{ 5 } \sqrt{ 8 ^2 } \, \sqrt{ 10 } =
\frac{ 1 }{ 5 } \cdot 8 \sqrt{ 10 } =
\frac{ 8 }{ 5 } \sqrt{ 10 } $$ |
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