Question
Answer
$$2\sqrt{13}-5\sqrt{2}+4\sqrt{12}+2\sqrt{2}=2\sqrt{13}-3\sqrt{2}+8\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2\sqrt{13}-5\sqrt{2}+4\sqrt{12}+2\sqrt{2}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2\sqrt{13}-5\sqrt{2}+8\sqrt{3}+2\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2\sqrt{13}-3\sqrt{2}+8\sqrt{3}\end{aligned} $$ | |
| ① | $$ 4 \sqrt{12} =
4 \sqrt{ 2 ^2 \cdot 3 } =
4 \sqrt{ 2 ^2 } \, \sqrt{ 3 } =
4 \cdot 2 \sqrt{ 3 } =
8 \sqrt{ 3 } $$ |
| ② | Combine like terms |
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