Question
Answer
$$(3\sqrt{12})^2=108$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(3\sqrt{12})^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(6\sqrt{3})^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}108\end{aligned} $$ | |
| ① | $$ 3 \sqrt{12} =
3 \sqrt{ 2 ^2 \cdot 3 } =
3 \sqrt{ 2 ^2 } \, \sqrt{ 3 } =
3 \cdot 2 \sqrt{ 3 } =
6 \sqrt{ 3 } $$ |
| ② | $$ (6\sqrt{3})^2 =
6^{ 2 } \cdot \sqrt{3} ^ { 2 } =
6^{ 2 } \sqrt{3} ^2 =
6^{ 2 } \lvert 3 \rvert =
108 $$ |
This page was created using
Simplify Radical Expression