Question
Answer
$$2\sqrt{200}-10\sqrt{2}=10\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2\sqrt{200}-10\sqrt{2}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}20\sqrt{2}-10\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}10\sqrt{2}\end{aligned} $$ | |
| ① | $$ 2 \sqrt{200} =
2 \sqrt{ 10 ^2 \cdot 2 } =
2 \sqrt{ 10 ^2 } \, \sqrt{ 2 } =
2 \cdot 10 \sqrt{ 2 } =
20 \sqrt{ 2 } $$ |
| ② | Combine like terms |
This page was created using
Simplify Radical Expression