Question
Answer
$$(\sqrt{3}-5)(\sqrt{3}-5)=28-10\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(\sqrt{3}-5)(\sqrt{3}-5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3-5\sqrt{3}-5\sqrt{3}+25 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}28-10\sqrt{3}\end{aligned} $$ | |
| ① | $$ \color{blue}{ \left( \sqrt{3}-5\right) } \cdot \left( \sqrt{3}-5\right) = \color{blue}{ \sqrt{3}} \cdot \sqrt{3}+\color{blue}{ \sqrt{3}} \cdot-5\color{blue}{-5} \cdot \sqrt{3}\color{blue}{-5} \cdot-5 = \\ = 3- 5 \sqrt{3}- 5 \sqrt{3} + 25 $$ |
| ② | Combine like terms |
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