Question
Answer
$$\dfrac{2}{\sqrt{425}}=\dfrac{2\sqrt{17}}{85}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{2}{\sqrt{425}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}} \frac{ 2 }{\sqrt{ 425 }} \times \frac{ \color{orangered}{\sqrt{ 425 }} }{ \color{orangered}{\sqrt{ 425 }}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{2\sqrt{425}}{425} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}} \frac{ 2 \sqrt{ 25 \cdot 17 }}{ 425 } \xlongequal{ } \\[1 em] & \xlongequal{ } \frac{ 2 \cdot 5 \sqrt{ 17 } }{ 425 } \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{10\sqrt{17}}{425} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}} \frac{ 10 \sqrt{ 17 } : \color{blue}{ 5 } }{ 425 : \color{blue}{ 5 } } \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{2\sqrt{17}}{85}\end{aligned} $$ | |
| ① | Multiply both top and bottom by $ \color{orangered}{ \sqrt{ 425 }}$. |
| ② | In denominator we have $ \sqrt{ 425 } \cdot \sqrt{ 425 } = 425 $. |
| ③ | Simplify $ \sqrt{ 425 } $. |
| ④ | Divide both the top and bottom numbers by $ \color{blue}{ 5 }$. |
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