Answer
$$2\sqrt{6}+3\sqrt{54}=11\sqrt{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2\sqrt{6}+3\sqrt{54}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2\sqrt{6}+9\sqrt{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}11\sqrt{6}\end{aligned} $$ | |
| ① | $$ 3 \sqrt{54} =
3 \sqrt{ 3 ^2 \cdot 6 } =
3 \sqrt{ 3 ^2 } \, \sqrt{ 6 } =
3 \cdot 3 \sqrt{ 6 } =
9 \sqrt{ 6 } $$ |
| ② | Combine like terms |
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