Question
Answer
$$2\sqrt{32}+3\sqrt{50}-3\sqrt{18}=14\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2\sqrt{32}+3\sqrt{50}-3\sqrt{18}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}8\sqrt{2}+15\sqrt{2}-9\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}14\sqrt{2}\end{aligned} $$ | |
| ① | $$ 2 \sqrt{32} =
2 \sqrt{ 4 ^2 \cdot 2 } =
2 \sqrt{ 4 ^2 } \, \sqrt{ 2 } =
2 \cdot 4 \sqrt{ 2 } =
8 \sqrt{ 2 } $$ |
| ② | $$ 3 \sqrt{50} =
3 \sqrt{ 5 ^2 \cdot 2 } =
3 \sqrt{ 5 ^2 } \, \sqrt{ 2 } =
3 \cdot 5 \sqrt{ 2 } =
15 \sqrt{ 2 } $$ |
| ③ | $$ - 3 \sqrt{18} =
-3 \sqrt{ 3 ^2 \cdot 2 } =
-3 \sqrt{ 3 ^2 } \, \sqrt{ 2 } =
-3 \cdot 3 \sqrt{ 2 } =
-9 \sqrt{ 2 } $$ |
| ④ | Combine like terms |
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