Question
Answer
$$-24\sqrt{640}=-192\sqrt{10}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-24\sqrt{640}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-24\cdot \sqrt{ 64 \cdot 10 } \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-24\cdot \sqrt{ 64 } \cdot \sqrt{ 10 } \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-24\cdot8 \sqrt{ 10 } \xlongequal{ } \\[1 em] & \xlongequal{ }-192\sqrt{10}\end{aligned} $$ | |
| ① | Factor out the largest perfect square of 640. ( in this example we factored out $ 64 $ ) |
| ② | Rewrite $ \sqrt{ 64 \cdot 10 } $ as the product of two radicals. |
| ③ | The square root of $ 64 $ is $ 8 $. |
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