Answer
$$3\sqrt{150}+3\sqrt{6}=18\sqrt{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3\sqrt{150}+3\sqrt{6}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}15\sqrt{6}+3\sqrt{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}18\sqrt{6}\end{aligned} $$ | |
| ① | $$ 3 \sqrt{150} =
3 \sqrt{ 5 ^2 \cdot 6 } =
3 \sqrt{ 5 ^2 } \, \sqrt{ 6 } =
3 \cdot 5 \sqrt{ 6 } =
15 \sqrt{ 6 } $$ |
| ② | Combine like terms |
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