Question
Answer
$$8\sqrt{10}-8\sqrt{160}=-24\sqrt{10}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8\sqrt{10}-8\sqrt{160}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8\sqrt{10}-32\sqrt{10} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-24\sqrt{10}\end{aligned} $$ | |
| ① | $$ - 8 \sqrt{160} =
-8 \sqrt{ 4 ^2 \cdot 10 } =
-8 \sqrt{ 4 ^2 } \, \sqrt{ 10 } =
-8 \cdot 4 \sqrt{ 10 } =
-32 \sqrt{ 10 } $$ |
| ② | Combine like terms |
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