Answer
$$8\sqrt{40}+\sqrt{160}=20\sqrt{10}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8\sqrt{40}+\sqrt{160}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}16\sqrt{10}+4\sqrt{10} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}20\sqrt{10}\end{aligned} $$ | |
| ① | $$ 8 \sqrt{40} =
8 \sqrt{ 2 ^2 \cdot 10 } =
8 \sqrt{ 2 ^2 } \, \sqrt{ 10 } =
8 \cdot 2 \sqrt{ 10 } =
16 \sqrt{ 10 } $$ |
| ② | $$ \sqrt{160} =
\sqrt{ 4 ^2 \cdot 10 } =
\sqrt{ 4 ^2 } \, \sqrt{ 10 } =
4 \sqrt{ 10 }$$ |
| ③ | Combine like terms |
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