804 Вправа 804Алгебра 8 клас Бевз 2025 · § 16 · стор. 153

804. Виконай дії.

а) ${\displaystyle {(3-\sqrt{5})}^2=}$${\displaystyle 9-6\sqrt{5}+5=}$${\displaystyle 14-6\sqrt{5}}$;

б) ${\displaystyle {(2\sqrt{3}-\sqrt{5})}^2=}$${\displaystyle 12-4\sqrt{15}+5=}$${\displaystyle 17-4\sqrt{15}}$;

в) ${\displaystyle {(\sqrt{7}+\sqrt{2})}^2-2\sqrt{14}}$=

=${\displaystyle 7+2\sqrt{14}+2-2\sqrt{14}=}$${\displaystyle 9}$;

г) ${\displaystyle {(1-\sqrt{3})}^2+\sqrt{12}=}$${\displaystyle 1-2\sqrt{3}+3+2\sqrt{3}=}$${\displaystyle 4}$.