Question
Answer
$$5\sqrt{2}-\sqrt{98}=-2\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5\sqrt{2}-\sqrt{98}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5\sqrt{2}-7\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2\sqrt{2}\end{aligned} $$ | |
| ① | $$ - \sqrt{98} =
- \sqrt{ 7 ^2 \cdot 2 } =
- \sqrt{ 7 ^2 } \, \sqrt{ 2 } =
- 7 \sqrt{ 2 }$$ |
| ② | Combine like terms |
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