Question
Answer
$$4\sqrt{2}-7\sqrt{128}=-52\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4\sqrt{2}-7\sqrt{128}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4\sqrt{2}-56\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-52\sqrt{2}\end{aligned} $$ | |
| ① | $$ - 7 \sqrt{128} =
-7 \sqrt{ 8 ^2 \cdot 2 } =
-7 \sqrt{ 8 ^2 } \, \sqrt{ 2 } =
-7 \cdot 8 \sqrt{ 2 } =
-56 \sqrt{ 2 } $$ |
| ② | Combine like terms |
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