Question
Answer
$$\sqrt{32}+\sqrt{18}+\sqrt{50}=12\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\sqrt{32}+\sqrt{18}+\sqrt{50}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}4\sqrt{2}+3\sqrt{2}+5\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}12\sqrt{2}\end{aligned} $$ | |
| ① | $$ \sqrt{32} =
\sqrt{ 4 ^2 \cdot 2 } =
\sqrt{ 4 ^2 } \, \sqrt{ 2 } =
4 \sqrt{ 2 }$$ |
| ② | $$ \sqrt{18} =
\sqrt{ 3 ^2 \cdot 2 } =
\sqrt{ 3 ^2 } \, \sqrt{ 2 } =
3 \sqrt{ 2 }$$ |
| ③ | $$ \sqrt{50} =
\sqrt{ 5 ^2 \cdot 2 } =
\sqrt{ 5 ^2 } \, \sqrt{ 2 } =
5 \sqrt{ 2 }$$ |
| ④ | Combine like terms |
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