Question
Answer
$$\dfrac{9\sqrt{22}}{9\sqrt{13}}=\dfrac{\sqrt{286}}{13}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{9\sqrt{22}}{9\sqrt{13}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{9\sqrt{22}}{9\sqrt{13}}\frac{\sqrt{13}}{\sqrt{13}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{9\sqrt{286}}{117} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{\sqrt{286}}{13}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{13}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 9 \sqrt{22} } \cdot \sqrt{13} = 9 \sqrt{286} $$ Simplify denominator. $$ \color{blue}{ 9 \sqrt{13} } \cdot \sqrt{13} = 117 $$ |
| ③ | Divide both numerator and denominator by 9. |
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