Answer
$$8\sqrt{2}+8\sqrt{50}=48\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8\sqrt{2}+8\sqrt{50}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8\sqrt{2}+40\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}48\sqrt{2}\end{aligned} $$ | |
| ① | $$ 8 \sqrt{50} =
8 \sqrt{ 5 ^2 \cdot 2 } =
8 \sqrt{ 5 ^2 } \, \sqrt{ 2 } =
8 \cdot 5 \sqrt{ 2 } =
40 \sqrt{ 2 } $$ |
| ② | Combine like terms |
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