Question
Answer
$$(\sqrt{10}-\sqrt{7})(\sqrt{10}-\sqrt{7})=17-2\sqrt{70}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(\sqrt{10}-\sqrt{7})(\sqrt{10}-\sqrt{7})& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}10-\sqrt{70}-\sqrt{70}+7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}17-2\sqrt{70}\end{aligned} $$ | |
| ① | $$ \color{blue}{ \left( \sqrt{10}- \sqrt{7}\right) } \cdot \left( \sqrt{10}- \sqrt{7}\right) = \color{blue}{ \sqrt{10}} \cdot \sqrt{10}+\color{blue}{ \sqrt{10}} \cdot- \sqrt{7}\color{blue}{- \sqrt{7}} \cdot \sqrt{10}\color{blue}{- \sqrt{7}} \cdot- \sqrt{7} = \\ = 10- \sqrt{70}- \sqrt{70} + 7 $$ |
| ② | Combine like terms |
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