Tap the blue circles to see an explanation.
$$ \begin{aligned}3\sqrt{8}-\sqrt{2}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6\sqrt{2}-\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5\sqrt{2}\end{aligned} $$ | |
① | $$ 3 \sqrt{8} =
3 \sqrt{ 2 ^2 \cdot 2 } =
3 \sqrt{ 2 ^2 } \, \sqrt{ 2 } =
3 \cdot 2 \sqrt{ 2 } =
6 \sqrt{ 2 } $$ |
② | Combine like terms |