calculate-A-1-2-6-4-1-2-6-4-

Question Number 128496 by mathmax by abdo last updated on 07/Jan/21

calculate A = \frac{1}{{(2 - \sqrt{6})}^{4}} + \frac{1}{{(2 + \sqrt{6})}^{4}}

Commented by liberty last updated on 08/Jan/21

\frac{{(2 - \sqrt{6})}^{4} + {(2 + \sqrt{6})}^{4}}{{(- 2)}^{4}} = \frac{{{(2 - \sqrt{6})}^{2} + {(2 + \sqrt{6})}^{2}}^{2} - 2 {(- 2)}^{2}}{16}

= \frac{{(4 + 6 + 4 + 6)}^{2} - 8}{16} = \frac{392}{16} = \frac{49}{2} = A

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