Question
Answer
$$-2\sqrt{2}+3\sqrt{8}-6\sqrt{14}+5\sqrt{2}=9\sqrt{2}-6\sqrt{14}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-2\sqrt{2}+3\sqrt{8}-6\sqrt{14}+5\sqrt{2}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-2\sqrt{2}+6\sqrt{2}-6\sqrt{14}+5\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}9\sqrt{2}-6\sqrt{14}\end{aligned} $$ | |
| ① | $$ 3 \sqrt{8} =
3 \sqrt{ 2 ^2 \cdot 2 } =
3 \sqrt{ 2 ^2 } \, \sqrt{ 2 } =
3 \cdot 2 \sqrt{ 2 } =
6 \sqrt{ 2 } $$ |
| ② | Combine like terms |
This page was created using
Simplify Radical Expression