Question
Answer
$$\sqrt{\dfrac{20}{9}}=\dfrac{2}{3}\sqrt{5}$$
Explanation
| $$ \begin{aligned}\sqrt{\frac{20}{9}}& \xlongequal{ }\frac{1}{3}\sqrt{20} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{2}{3}\sqrt{5}\end{aligned} $$ | |
| ① | $$ \frac{ 1 }{ 3 } \sqrt{ 20 } =
\frac{ 1 }{ 3 } \sqrt{ 2 ^2 \cdot 5 } =
\frac{ 1 }{ 3 } \sqrt{ 2 ^2 } \, \sqrt{ 5 } =
\frac{ 1 }{ 3 } \cdot 2 \sqrt{ 5 } =
\frac{ 2 }{ 3 } \sqrt{ 5 } $$ |
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