Question
Answer
$$\sqrt{\dfrac{84}{121}}=\dfrac{2}{11}\sqrt{21}$$
Explanation
| $$ \begin{aligned}\sqrt{\frac{84}{121}}& \xlongequal{ }\frac{1}{11}\sqrt{84} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{2}{11}\sqrt{21}\end{aligned} $$ | |
| ① | $$ \frac{ 1 }{ 11 } \sqrt{ 84 } =
\frac{ 1 }{ 11 } \sqrt{ 2 ^2 \cdot 21 } =
\frac{ 1 }{ 11 } \sqrt{ 2 ^2 } \, \sqrt{ 21 } =
\frac{ 1 }{ 11 } \cdot 2 \sqrt{ 21 } =
\frac{ 2 }{ 11 } \sqrt{ 21 } $$ |
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