Question
Answer
$$\sqrt{\dfrac{48}{144}}=\dfrac{1}{3}\sqrt{3}$$
Explanation
| $$ \begin{aligned}\sqrt{\frac{48}{144}}& \xlongequal{ }\frac{1}{12}\sqrt{48} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{1}{3}\sqrt{3}\end{aligned} $$ | |
| ① | $$ \frac{ 1 }{ 12 } \sqrt{ 48 } =
\frac{ 1 }{ 12 } \sqrt{ 4 ^2 \cdot 3 } =
\frac{ 1 }{ 12 } \sqrt{ 4 ^2 } \, \sqrt{ 3 } =
\frac{ 1 }{ 12 } \cdot 4 \sqrt{ 3 } =
\frac{ 1 }{ 3 } \sqrt{ 3 } $$ |
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