Question
Answer
$$(4\sqrt{2}-\sqrt{7})^2=39-8\sqrt{14}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(4\sqrt{2}-\sqrt{7})^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}32-4\sqrt{14}-4\sqrt{14}+7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}39-8\sqrt{14}\end{aligned} $$ | |
| ① | $$ (4\sqrt{2}-\sqrt{7})^2 = \left( 4 \sqrt{2}- \sqrt{7} \right) \cdot \left( 4 \sqrt{2}- \sqrt{7} \right) = 32- 4 \sqrt{14}- 4 \sqrt{14} + 7 $$ |
| ② | Combine like terms |
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