Question
Answer
$$\dfrac{218}{13\sqrt{218}}=\dfrac{\sqrt{218}}{13}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{218}{13\sqrt{218}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{218}{13\sqrt{218}}\frac{\sqrt{218}}{\sqrt{218}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{218\sqrt{218}}{2834} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{\sqrt{218}}{13}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{218}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 218 } \cdot \sqrt{218} = 218 \sqrt{218} $$ Simplify denominator. $$ \color{blue}{ 13 \sqrt{218} } \cdot \sqrt{218} = 2834 $$ |
| ③ | Divide both numerator and denominator by 218. |
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