Question
Answer
$$\dfrac{1}{3\sqrt{4}}=\dfrac{1}{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{1}{3\sqrt{4}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{1}{3\sqrt{4}}\frac{\sqrt{4}}{\sqrt{4}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{2}{12} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}} \frac{ 2 : \color{orangered}{ 2 } }{ 12 : \color{orangered}{ 2 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{1}{6}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{4}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 1 } \cdot \sqrt{4} = 2 $$ Simplify denominator. $$ \color{blue}{ 3 \sqrt{4} } \cdot \sqrt{4} = 12 $$ |
| ③ | Divide both the top and bottom numbers by $ \color{orangered}{ 2 } $. |
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