Tap the blue circles to see an explanation.
$$ \begin{aligned}-1\sqrt{18}+3\sqrt{50}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-3\sqrt{2}+15\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}12\sqrt{2}\end{aligned} $$ | |
① | $$ - \sqrt{18} =
- \sqrt{ 3 ^2 \cdot 2 } =
- \sqrt{ 3 ^2 } \, \sqrt{ 2 } =
- 3 \sqrt{ 2 }$$ |
② | $$ 3 \sqrt{50} =
3 \sqrt{ 5 ^2 \cdot 2 } =
3 \sqrt{ 5 ^2 } \, \sqrt{ 2 } =
3 \cdot 5 \sqrt{ 2 } =
15 \sqrt{ 2 } $$ |
③ | Combine like terms |