Question
Answer
$$6\sqrt{12}-12\sqrt{3}+\sqrt{100}=10$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6\sqrt{12}-12\sqrt{3}+\sqrt{100}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}12\sqrt{3}-12\sqrt{3}+10 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}10\end{aligned} $$ | |
| ① | $$ 6 \sqrt{12} =
6 \sqrt{ 2 ^2 \cdot 3 } =
6 \sqrt{ 2 ^2 } \, \sqrt{ 3 } =
6 \cdot 2 \sqrt{ 3 } =
12 \sqrt{ 3 } $$ |
| ② | $$ \sqrt{100} = 10 $$ |
| ③ | Combine like terms |
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