Question
Answer
$$6\sqrt{160}-\sqrt{40}=22\sqrt{10}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6\sqrt{160}-\sqrt{40}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}24\sqrt{10}-2\sqrt{10} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}22\sqrt{10}\end{aligned} $$ | |
| ① | $$ 6 \sqrt{160} =
6 \sqrt{ 4 ^2 \cdot 10 } =
6 \sqrt{ 4 ^2 } \, \sqrt{ 10 } =
6 \cdot 4 \sqrt{ 10 } =
24 \sqrt{ 10 } $$ |
| ② | $$ - \sqrt{40} =
- \sqrt{ 2 ^2 \cdot 10 } =
- \sqrt{ 2 ^2 } \, \sqrt{ 10 } =
- 2 \sqrt{ 10 }$$ |
| ③ | Combine like terms |
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