Answer
$$-\sqrt{24}-\sqrt{150}=-7\sqrt{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-\sqrt{24}-\sqrt{150}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2\sqrt{6}-5\sqrt{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-7\sqrt{6}\end{aligned} $$ | |
| ① | $$ - \sqrt{24} =
- \sqrt{ 2 ^2 \cdot 6 } =
- \sqrt{ 2 ^2 } \, \sqrt{ 6 } =
- 2 \sqrt{ 6 }$$ |
| ② | $$ - \sqrt{150} =
- \sqrt{ 5 ^2 \cdot 6 } =
- \sqrt{ 5 ^2 } \, \sqrt{ 6 } =
- 5 \sqrt{ 6 }$$ |
| ③ | Combine like terms |
This page was created using
Simplify Radical Expression