Answer
$$\sqrt{3}-5\sqrt{12}=-9\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\sqrt{3}-5\sqrt{12}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\sqrt{3}-10\sqrt{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-9\sqrt{3}\end{aligned} $$ | |
| ① | $$ - 5 \sqrt{12} =
-5 \sqrt{ 2 ^2 \cdot 3 } =
-5 \sqrt{ 2 ^2 } \, \sqrt{ 3 } =
-5 \cdot 2 \sqrt{ 3 } =
-10 \sqrt{ 3 } $$ |
| ② | Combine like terms |
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