Question
Answer
$$4\sqrt{32}+6\sqrt{50}=46\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4\sqrt{32}+6\sqrt{50}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}16\sqrt{2}+30\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}46\sqrt{2}\end{aligned} $$ | |
| ① | $$ 4 \sqrt{32} =
4 \sqrt{ 4 ^2 \cdot 2 } =
4 \sqrt{ 4 ^2 } \, \sqrt{ 2 } =
4 \cdot 4 \sqrt{ 2 } =
16 \sqrt{ 2 } $$ |
| ② | $$ 6 \sqrt{50} =
6 \sqrt{ 5 ^2 \cdot 2 } =
6 \sqrt{ 5 ^2 } \, \sqrt{ 2 } =
6 \cdot 5 \sqrt{ 2 } =
30 \sqrt{ 2 } $$ |
| ③ | Combine like terms |
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