Question
Answer
$$(\sqrt{2}-5\sqrt{3})(-\sqrt{2}+\sqrt{3})=-17+6\sqrt{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(\sqrt{2}-5\sqrt{3})(-\sqrt{2}+\sqrt{3})& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-2+\sqrt{6}+5\sqrt{6}-15 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-17+6\sqrt{6}\end{aligned} $$ | |
| ① | $$ \color{blue}{ \left( \sqrt{2}- 5 \sqrt{3}\right) } \cdot \left( - \sqrt{2} + \sqrt{3}\right) = \color{blue}{ \sqrt{2}} \cdot- \sqrt{2}+\color{blue}{ \sqrt{2}} \cdot \sqrt{3}\color{blue}{- 5 \sqrt{3}} \cdot- \sqrt{2}\color{blue}{- 5 \sqrt{3}} \cdot \sqrt{3} = \\ = -2 + \sqrt{6} + 5 \sqrt{6}-15 $$ |
| ② | Combine like terms |
This page was created using
Simplify Radical Expression