Question
Answer
$$-8\sqrt{8}-8\sqrt{162}=-88\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-8\sqrt{8}-8\sqrt{162}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-16\sqrt{2}-72\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-88\sqrt{2}\end{aligned} $$ | |
| ① | $$ - 8 \sqrt{8} =
-8 \sqrt{ 2 ^2 \cdot 2 } =
-8 \sqrt{ 2 ^2 } \, \sqrt{ 2 } =
-8 \cdot 2 \sqrt{ 2 } =
-16 \sqrt{ 2 } $$ |
| ② | $$ - 8 \sqrt{162} =
-8 \sqrt{ 9 ^2 \cdot 2 } =
-8 \sqrt{ 9 ^2 } \, \sqrt{ 2 } =
-8 \cdot 9 \sqrt{ 2 } =
-72 \sqrt{ 2 } $$ |
| ③ | Combine like terms |
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