Question
Answer
$$5\sqrt{35}-2\sqrt{140}=\sqrt{35}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5\sqrt{35}-2\sqrt{140}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5\sqrt{35}-4\sqrt{35} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\sqrt{35}\end{aligned} $$ | |
| 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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