Question
Answer
$$-8\sqrt{35}+2\sqrt{140}=-4\sqrt{35}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-8\sqrt{35}+2\sqrt{140}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-8\sqrt{35}+4\sqrt{35} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-4\sqrt{35}\end{aligned} $$ | |
| ① | $$ 2 \sqrt{140} =
2 \sqrt{ 2 ^2 \cdot 35 } =
2 \sqrt{ 2 ^2 } \, \sqrt{ 35 } =
2 \cdot 2 \sqrt{ 35 } =
4 \sqrt{ 35 } $$ |
| ② | Combine like terms |
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