Question
Answer
$$\dfrac{9\sqrt{17}}{2\sqrt{17}}=\dfrac{9}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{9\sqrt{17}}{2\sqrt{17}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{9\sqrt{17}}{2\sqrt{17}}\frac{\sqrt{17}}{\sqrt{17}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{153}{34} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}} \frac{ 153 : \color{orangered}{ 17 } }{ 34 : \color{orangered}{ 17 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{9}{2}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{17}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 9 \sqrt{17} } \cdot \sqrt{17} = 153 $$ Simplify denominator. $$ \color{blue}{ 2 \sqrt{17} } \cdot \sqrt{17} = 34 $$ |
| ③ | Divide both the top and bottom numbers by $ \color{orangered}{ 17 } $. |
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