Question

Mă puteți ajuta??:))
apropo este exercițiul încercuit cu mov

Answer 1

$\displaystyle = \frac{5 \sqrt{2}-2 \sqrt{5}}{3} \cdot \left( \frac{5 \sqrt{2}-2 \sqrt{5}}{3}\right)^4 \cdot \left( \frac{5 \sqrt{2}+2 \sqrt{5}}{10} \right)^4+ \frac{2 \sqrt{5}-2 \sqrt{2}}{3}= \\ \\ = \frac{5 \sqrt{2}-2 \sqrt{5}}{3} \cdot \left( \frac{5 \sqrt{2}-2 \sqrt{5}}{3} \cdot \frac{5 \sqrt{2}+2 \sqrt{5}}{10} \right)^4 + \frac{2 \sqrt{5}-2 \sqrt{2}}{3}= \\ \\ = \frac{5 \sqrt{2}-2 \sqrt{5}}{3} \cdot \left( \frac{50-20}{30} \right)^4+ \frac{2 \sqrt{5}-2 \sqrt{2}}{3}=$
$\displaystyle = \frac{5 \sqrt{2}-2 \sqrt{5}}{3} + \frac{2 \sqrt{5}-2 \sqrt{2}}{3}= \\ \\ =\frac{3 \sqrt{2}}{3} = \\ \\ = \sqrt{2}$