Question
Answer
$$(2\sqrt{8})^2=32$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2\sqrt{8})^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(4\sqrt{2})^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}32\end{aligned} $$ | |
| ① | $$ 2 \sqrt{8} =
2 \sqrt{ 2 ^2 \cdot 2 } =
2 \sqrt{ 2 ^2 } \, \sqrt{ 2 } =
2 \cdot 2 \sqrt{ 2 } =
4 \sqrt{ 2 } $$ |
| ② | $$ (4\sqrt{2})^2 =
4^{ 2 } \cdot \sqrt{2} ^ { 2 } =
4^{ 2 } \sqrt{2} ^2 =
4^{ 2 } \lvert 2 \rvert =
32 $$ |
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