Question
Answer
$$2\sqrt{2}+4\sqrt{4}+8\sqrt{8}=18\sqrt{2}+8$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2\sqrt{2}+4\sqrt{4}+8\sqrt{8}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2\sqrt{2}+8+16\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}18\sqrt{2}+8\end{aligned} $$ | |
| ① | $$ 4 \sqrt{4} = 4 \cdot 2 = 8 $$ |
| ② | $$ 8 \sqrt{8} =
8 \sqrt{ 2 ^2 \cdot 2 } =
8 \sqrt{ 2 ^2 } \, \sqrt{ 2 } =
8 \cdot 2 \sqrt{ 2 } =
16 \sqrt{ 2 } $$ |
| ③ | Combine like terms |
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