Question
Answer
$$\dfrac{13\sqrt{2}-\sqrt{50}}{1}=8\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{13\sqrt{2}-\sqrt{50}}{1}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}13\sqrt{2}-\sqrt{50} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}13\sqrt{2}-5\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}8\sqrt{2}\end{aligned} $$ | |
| ① | Remove 1 from denominator. |
| ② | $$ - \sqrt{50} =
- \sqrt{ 5 ^2 \cdot 2 } =
- \sqrt{ 5 ^2 } \, \sqrt{ 2 } =
- 5 \sqrt{ 2 }$$ |
| ③ | Combine like terms |
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