Question

Упрости выражение √(11−√2)2

Answer 1

$\sqrt{(11-\sqrt2)^2} =|11-\sqrt2|=11-\sqrt2\; ,\; \; \; (11-\sqrt2\ \textgreater \ 0)\\\\P.S.\; \; \sqrt{a^2}=|a|$

$(\sqrt{11}-\sqrt2)^2=11-2\sqrt{11}\cdot \sqrt2+2=13-2\sqrt{22}$