Answer
$$3\sqrt{5}+3\sqrt{45}=12\sqrt{5}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3\sqrt{5}+3\sqrt{45}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3\sqrt{5}+9\sqrt{5} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}12\sqrt{5}\end{aligned} $$ | |
| ① | $$ 3 \sqrt{45} =
3 \sqrt{ 3 ^2 \cdot 5 } =
3 \sqrt{ 3 ^2 } \, \sqrt{ 5 } =
3 \cdot 3 \sqrt{ 5 } =
9 \sqrt{ 5 } $$ |
| ② | Combine like terms |
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