Answer
$$-3\sqrt{90}-\sqrt{10}=-10\sqrt{10}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-3\sqrt{90}-\sqrt{10}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-9\sqrt{10}-\sqrt{10} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-10\sqrt{10}\end{aligned} $$ | |
| ① | $$ - 3 \sqrt{90} =
-3 \sqrt{ 3 ^2 \cdot 10 } =
-3 \sqrt{ 3 ^2 } \, \sqrt{ 10 } =
-3 \cdot 3 \sqrt{ 10 } =
-9 \sqrt{ 10 } $$ |
| ② | Combine like terms |
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