Question
Answer
$$-8\sqrt{27}+2\sqrt{208}=-24\sqrt{3}+8\sqrt{13}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-8\sqrt{27}+2\sqrt{208}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-24\sqrt{3}+8\sqrt{13}\end{aligned} $$ | |
| ① | $$ - 8 \sqrt{27} =
-8 \sqrt{ 3 ^2 \cdot 3 } =
-8 \sqrt{ 3 ^2 } \, \sqrt{ 3 } =
-8 \cdot 3 \sqrt{ 3 } =
-24 \sqrt{ 3 } $$ |
| ② | $$ 2 \sqrt{208} =
2 \sqrt{ 4 ^2 \cdot 13 } =
2 \sqrt{ 4 ^2 } \, \sqrt{ 13 } =
2 \cdot 4 \sqrt{ 13 } =
8 \sqrt{ 13 } $$ |
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