Answer
$$8\sqrt{5}+10\sqrt{20}=28\sqrt{5}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8\sqrt{5}+10\sqrt{20}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8\sqrt{5}+20\sqrt{5} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}28\sqrt{5}\end{aligned} $$ | |
| ① | $$ 10 \sqrt{20} =
10 \sqrt{ 2 ^2 \cdot 5 } =
10 \sqrt{ 2 ^2 } \, \sqrt{ 5 } =
10 \cdot 2 \sqrt{ 5 } =
20 \sqrt{ 5 } $$ |
| ② | Combine like terms |
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