Question
Answer
$$\sqrt{\dfrac{75}{4}}=\dfrac{5}{2}\sqrt{3}$$
Explanation
| $$ \begin{aligned}\sqrt{\frac{75}{4}}& \xlongequal{ }\frac{1}{2}\sqrt{75} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{5}{2}\sqrt{3}\end{aligned} $$ | |
| ① | $$ \frac{ 1 }{ 2 } \sqrt{ 75 } =
\frac{ 1 }{ 2 } \sqrt{ 5 ^2 \cdot 3 } =
\frac{ 1 }{ 2 } \sqrt{ 5 ^2 } \, \sqrt{ 3 } =
\frac{ 1 }{ 2 } \cdot 5 \sqrt{ 3 } =
\frac{ 5 }{ 2 } \sqrt{ 3 } $$ |
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