Tap the blue circles to see an explanation.
| $$ \begin{aligned}2\sqrt{20}+3\sqrt{5}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4\sqrt{5}+3\sqrt{5} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}7\sqrt{5}\end{aligned} $$ | |
| ① | $$ 2 \sqrt{20} =
2 \sqrt{ 2 ^2 \cdot 5 } =
2 \sqrt{ 2 ^2 } \, \sqrt{ 5 } =
2 \cdot 2 \sqrt{ 5 } =
4 \sqrt{ 5 } $$ |
| ② | Combine like terms |