Tap the blue circles to see an explanation.
$$ \begin{aligned}2\sqrt{5}-\sqrt{180}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2\sqrt{5}-6\sqrt{5} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-4\sqrt{5}\end{aligned} $$ | |
① | $$ - \sqrt{180} =
- \sqrt{ 6 ^2 \cdot 5 } =
- \sqrt{ 6 ^2 } \, \sqrt{ 5 } =
- 6 \sqrt{ 5 }$$ |
② | Combine like terms |