Question
Answer
$$\sqrt{\dfrac{5}{6}}=\dfrac{1}{6}\sqrt{30}$$
Explanation
| $$ \begin{aligned}\sqrt{\frac{5}{6}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{1}{6}\sqrt{30}\end{aligned} $$ | |
| ① | $$ \sqrt{ \frac{ 5 }{ 6 } } = \frac{ \sqrt{ 5 } } {\sqrt{ 6 }}
= \frac{ \sqrt{ 5 } } {\sqrt{ 6 }} \cdot \frac{ \sqrt{ 6 } } {\sqrt{ 6 }} = \\
= \frac{ \sqrt{ 30 }} { 6 } = \frac{ 1 }{ 6 } \sqrt{ 30 } $$ |
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