A.
(\frac{1}{2}+\frac{1}{\sqrt2})^2>\sqrt2
\frac{1}{4}+2 * \frac{1}{2} * \frac{1}{\sqrt2}+\frac{1}{2}>\sqrt2
\frac{3}{4}+\frac{1}{\sqrt2}>\sqrt2
\frac{3}{4}>\sqrt2-\frac{1}{2}\sqrt2
\frac{3}{4}>\frac{\sqrt2}{2} /^2
\frac{9}{16}>\frac{2}{4}
\frac{9}{16}>\frac{8}{16} co należało udowodnić