789 Вправа 789Алгебра 8 клас Бевз 2025 · § 16 · стор. 152

789. Внеси множник під знак кореня.

а) ${\displaystyle 11\sqrt{2}=}$${\displaystyle \sqrt{121\cdot 2}=}$${\displaystyle \sqrt{242}}$;

б) ${\displaystyle 5\sqrt{3}=}$${\displaystyle \sqrt{25\cdot 3}=}$${\displaystyle \sqrt{75}}$;

в) ${\displaystyle -10\sqrt{7}=}$${\displaystyle -\sqrt{100\cdot 7}=}$${\displaystyle -\sqrt{700}}$;

г) ${\displaystyle -3\sqrt{6}=}$${\displaystyle -\sqrt{9\cdot 6}=}$${\displaystyle -\sqrt{54}}$;

ґ) ${\displaystyle 3\sqrt{2a}=}$${\displaystyle \sqrt{9\cdot 2a}=}$${\displaystyle \sqrt{18a}}$;

д) ${\displaystyle -4\sqrt{3c}=}$${\displaystyle -\sqrt{16\cdot 3c}=}$${\displaystyle -\sqrt{48c}}$;

е) ${\displaystyle 1,5\sqrt{2}=}$${\displaystyle \sqrt{2,25\cdot 2}=}$${\displaystyle \sqrt{4,5}}$;

є) ${\displaystyle 2,5\sqrt{10}=}$${\displaystyle \sqrt{6,25\cdot 10}=}$${\displaystyle \sqrt{62,5}}$.