Question
Answer
$$-3\sqrt{40}-\sqrt{160}=-10\sqrt{10}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-3\sqrt{40}-\sqrt{160}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-6\sqrt{10}-4\sqrt{10} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-10\sqrt{10}\end{aligned} $$ | |
| ① | $$ - 3 \sqrt{40} =
-3 \sqrt{ 2 ^2 \cdot 10 } =
-3 \sqrt{ 2 ^2 } \, \sqrt{ 10 } =
-3 \cdot 2 \sqrt{ 10 } =
-6 \sqrt{ 10 } $$ |
| ② | $$ - \sqrt{160} =
- \sqrt{ 4 ^2 \cdot 10 } =
- \sqrt{ 4 ^2 } \, \sqrt{ 10 } =
- 4 \sqrt{ 10 }$$ |
| ③ | Combine like terms |
This page was created using
Simplify Radical Expression