Question
Answer
$$(-5+\sqrt{15})\cdot(-10+\sqrt{33})=50-5\sqrt{33}-10\sqrt{15}+3\sqrt{55}$$
Explanation
| $$ \begin{aligned}(-5+\sqrt{15})\cdot(-10+\sqrt{33})& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}50-5\sqrt{33}-10\sqrt{15}+3\sqrt{55}\end{aligned} $$ | |
| ① | $$ \color{blue}{ \left( -5 + \sqrt{15}\right) } \cdot \left( -10 + \sqrt{33}\right) = \color{blue}{-5} \cdot-10\color{blue}{-5} \cdot \sqrt{33}+\color{blue}{ \sqrt{15}} \cdot-10+\color{blue}{ \sqrt{15}} \cdot \sqrt{33} = \\ = 50- 5 \sqrt{33}- 10 \sqrt{15} + 3 \sqrt{55} $$ |
This page was created using
Simplify Radical Expression