Question
Answer
$$\sqrt{70}+\sqrt{800}-\sqrt{18}=\sqrt{70}+17\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\sqrt{70}+\sqrt{800}-\sqrt{18}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\sqrt{70}+20\sqrt{2}-3\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\sqrt{70}+17\sqrt{2}\end{aligned} $$ | |
| ① | $$ \sqrt{800} =
\sqrt{ 20 ^2 \cdot 2 } =
\sqrt{ 20 ^2 } \, \sqrt{ 2 } =
20 \sqrt{ 2 }$$ |
| ② | $$ - \sqrt{18} =
- \sqrt{ 3 ^2 \cdot 2 } =
- \sqrt{ 3 ^2 } \, \sqrt{ 2 } =
- 3 \sqrt{ 2 }$$ |
| ③ | Combine like terms |
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