Answer
$$\sqrt{\frac{7}{5}}=\frac{1}{5}\sqrt{35}$$
Explanation
| $$ \begin{aligned}\sqrt{\frac{7}{5}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{1}{5}\sqrt{35}\end{aligned} $$ | |
| ① | $$ \sqrt{ \frac{ 7 }{ 5 } } = \frac{ \sqrt{ 7 } } {\sqrt{ 5 }}
= \frac{ \sqrt{ 7 } } {\sqrt{ 5 }} \cdot \frac{ \sqrt{ 5 } } {\sqrt{ 5 }} = \\
= \frac{ \sqrt{ 35 }} { 5 } = \frac{ 1 }{ 5 } \sqrt{ 35 } $$ |
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