Question
Answer
$$-10\sqrt{11}+\sqrt{99}=-7\sqrt{11}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-10\sqrt{11}+\sqrt{99}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-10\sqrt{11}+3\sqrt{11} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-7\sqrt{11}\end{aligned} $$ | |
| ① | $$ \sqrt{99} =
\sqrt{ 3 ^2 \cdot 11 } =
\sqrt{ 3 ^2 } \, \sqrt{ 11 } =
3 \sqrt{ 11 }$$ |
| ② | Combine like terms |
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