Question

Выполнить действие 5/3+2√2 + 5/3-2√2

Answer 1

$frac{5}{3+2sqrt{2}}+frac{5}{3-2sqrt{2}}=\ frac{5*(3+2sqrt{2})+5*(3-2sqrt{2})}{(3+2sqrt{2})(3-2sqrt{2})}=\ frac{5*(3+2sqrt{2}+3-2sqrt{2})}{(3^2-(2sqrt{2})^2)}=\ frac{5*6}{9-8}=30$