Question
Answer
$$(9\sqrt{3}-4\sqrt{26})(9\sqrt{3}-4\sqrt{26})=659-72\sqrt{78}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(9\sqrt{3}-4\sqrt{26})(9\sqrt{3}-4\sqrt{26})& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}243-36\sqrt{78}-36\sqrt{78}+416 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}659-72\sqrt{78}\end{aligned} $$ | |
| ① | $$ \color{blue}{ \left( 9 \sqrt{3}- 4 \sqrt{26}\right) } \cdot \left( 9 \sqrt{3}- 4 \sqrt{26}\right) = \color{blue}{ 9 \sqrt{3}} \cdot 9 \sqrt{3}+\color{blue}{ 9 \sqrt{3}} \cdot- 4 \sqrt{26}\color{blue}{- 4 \sqrt{26}} \cdot 9 \sqrt{3}\color{blue}{- 4 \sqrt{26}} \cdot- 4 \sqrt{26} = \\ = 243- 36 \sqrt{78}- 36 \sqrt{78} + 416 $$ |
| ② | Combine like terms |
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