Answer
$$-\sqrt{3}-10\sqrt{48}=-41\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-\sqrt{3}-10\sqrt{48}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-\sqrt{3}-40\sqrt{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-41\sqrt{3}\end{aligned} $$ | |
| ① | $$ - 10 \sqrt{48} =
-10 \sqrt{ 4 ^2 \cdot 3 } =
-10 \sqrt{ 4 ^2 } \, \sqrt{ 3 } =
-10 \cdot 4 \sqrt{ 3 } =
-40 \sqrt{ 3 } $$ |
| ② | Combine like terms |
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