Answer
$$\frac{\sqrt{\frac{3}{2}}}{1}=\frac{1}{2}\sqrt{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{\frac{3}{2}}}{1}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\sqrt{\frac{3}{2}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{1}{2}\sqrt{6}\end{aligned} $$ | |
| ① | Remove 1 from denominator. |
| ② | $$ \sqrt{ \frac{ 3 }{ 2 } } = \frac{ \sqrt{ 3 } } {\sqrt{ 2 }}
= \frac{ \sqrt{ 3 } } {\sqrt{ 2 }} \cdot \frac{ \sqrt{ 2 } } {\sqrt{ 2 }} = \\
= \frac{ \sqrt{ 6 }} { 2 } = \frac{ 1 }{ 2 } \sqrt{ 6 } $$ |
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