786 Вправа 786Алгебра 8 клас Бевз 2025 · § 16 · стор. 152

786. Винеси множник з-під знака кореня.

а) ${\displaystyle \sqrt{12}=}$${\displaystyle \sqrt{4\cdot 3}=}$${\displaystyle \sqrt{4}\cdot \sqrt{3}=}$${\displaystyle 2\sqrt{3}}$;

б) ${\displaystyle \sqrt{27}=}$${\displaystyle \sqrt{9\cdot 3}=}$${\displaystyle \sqrt{9}\cdot \sqrt{3}=}$${\displaystyle 3\sqrt{3}}$;

в) ${\displaystyle \sqrt{45}=}$${\displaystyle \sqrt{9\cdot 5}=}$${\displaystyle \sqrt{9}\cdot \sqrt{5}=}$${\displaystyle 3\sqrt{5}}$;

г) ${\displaystyle \sqrt{72}=}$${\displaystyle \sqrt{36\cdot 2}=}$${\displaystyle \sqrt{36}\cdot \sqrt{2}=}$${\displaystyle 6\sqrt{2}}$;

ґ) ${\displaystyle \sqrt{640}=}$${\displaystyle \sqrt{64\cdot 10}=}$${\displaystyle \sqrt{64}\cdot \sqrt{10}=}$${\displaystyle 8\sqrt{10}}$;

д) ${\displaystyle \sqrt{500}=}$${\displaystyle \sqrt{100\cdot 5}=}$${\displaystyle \sqrt{100}\cdot \sqrt{5}=}$${\displaystyle 10\sqrt{5}}$;

е) ${\displaystyle \sqrt{0,48}=}$${\displaystyle \sqrt{0,16\cdot 3}=}$${\displaystyle \sqrt{0,16}\cdot \sqrt{3}=}$${\displaystyle 0,4\sqrt{3}}$;

є) ${\displaystyle \sqrt{10800}=}$${\displaystyle \sqrt{3600\cdot 3}=}$${\displaystyle \sqrt{3600}\cdot \sqrt{3}=}$${\displaystyle 60\sqrt{3}}$.