Question
Answer
$$(\dfrac{\sqrt{2}}{2})^2=\dfrac{1}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(\frac{\sqrt{2}}{2})^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{2}{4} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}} \frac{ 2 : \color{orangered}{ 2 } }{ 4 : \color{orangered}{ 2 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{1}{2}\end{aligned} $$ | |
| ① | $$ (\frac{\sqrt{2}}{2})^2 = \left( \frac{ \sqrt{2}}{2} \right) \cdot \left( \frac{ \sqrt{2}}{2} \right) = \frac{2}{4} $$ |
| ② | Divide both the top and bottom numbers by $ \color{orangered}{ 2 } $. |
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Simplify Radical Expression