Question
Answer
$$(-10+\sqrt{14})\cdot(7-6\sqrt{5})=-70+60\sqrt{5}+7\sqrt{14}-6\sqrt{70}$$
Explanation
| $$ \begin{aligned}(-10+\sqrt{14})\cdot(7-6\sqrt{5})& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-70+60\sqrt{5}+7\sqrt{14}-6\sqrt{70}\end{aligned} $$ | |
| ① | $$ \color{blue}{ \left( -10 + \sqrt{14}\right) } \cdot \left( 7- 6 \sqrt{5}\right) = \color{blue}{-10} \cdot7\color{blue}{-10} \cdot- 6 \sqrt{5}+\color{blue}{ \sqrt{14}} \cdot7+\color{blue}{ \sqrt{14}} \cdot- 6 \sqrt{5} = \\ = -70 + 60 \sqrt{5} + 7 \sqrt{14}- 6 \sqrt{70} $$ |
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