Umocnění výrazu
Umocni:
\large \left( 2+\Large \frac{1}{\sqrt {3}}\large \right) ^4+\left( 2-\Large \frac{1}{\sqrt {3}}\large \right) ^4
\large16+\Large\frac{32}{\sqrt{3}}\large+8+\Large\frac{8}{3\sqrt{3}}\large+\Large\frac{1}{9}+\large16-\Large\frac{32}{\sqrt{3}}\large+8-\Large\frac{8}{3\sqrt{3}}\large+\Large\frac{1}{9}
\large = 32+16+\Large \frac{2}{9}\large = \Large \frac{430}{9}\large
\large16+\Large\frac{32}{\sqrt{3}}\large+8+\Large\frac{8}{3\sqrt{3}}\large+\Large\frac{1}{9}+\large16-\Large\frac{32}{\sqrt{3}}\large+8-\Large\frac{8}{3\sqrt{3}}\large+\Large\frac{1}{9}
\large = 32+16+\Large \frac{2}{9}\large = \Large \frac{436}{9}\large
\large16+\Large\frac{32}{\sqrt{3}}\large+8+\Large\frac{8}{3\sqrt{3}}\large+\Large\frac{1}{9}+\large16-\Large\frac{32}{\sqrt{3}}\large+8-\Large\frac{8}{3\sqrt{3}}\large+\Large\frac{1}{9}
\large = 32+16+\Large \frac{2}{9}\large = \Large \frac{432}{9}\large
\large16+\Large\frac{32}{\sqrt{3}}\large+8+\Large\frac{8}{3\sqrt{3}}\large+\Large\frac{1}{9}+\large16-\Large\frac{32}{\sqrt{3}}\large+8-\Large\frac{8}{3\sqrt{3}}\large+\Large\frac{1}{9}
\large = 32+16+\Large \frac{2}{9}\large = \Large \frac{434}{9}\large