741 Вправа 741Алгебра 8 клас Бевз 2025 · § 15 · стор. 144

741. Знайди значення частки.

Частка коренів: ${\displaystyle \frac{\sqrt{a}}{\sqrt{b}}=}$${\displaystyle \sqrt{\frac{a}{b}}}$.

а) ${\displaystyle \frac{\sqrt{32}}{\sqrt{50}}=}$${\displaystyle \sqrt{\frac{32}{50}}=}$${\displaystyle \sqrt{\frac{16}{25}}=}$${\displaystyle \frac{4}{5}}$;

б) ${\displaystyle \frac{\sqrt{7}}{\sqrt{112}}=}$${\displaystyle \sqrt{\frac{7}{112}}=}$${\displaystyle \sqrt{\frac{1}{16}}=}$${\displaystyle \frac{1}{4}}$;

в) ${\displaystyle \frac{\sqrt{4,8}}{\sqrt{0,3}}=}$${\displaystyle \sqrt{\frac{4,8}{0,3}}=}$${\displaystyle \sqrt{16}=}$${\displaystyle 4}$;

г) ${\displaystyle \frac{\sqrt{2,7}}{\sqrt{4,8}}=}$${\displaystyle \sqrt{\frac{2,7}{4,8}}=}$${\displaystyle \sqrt{\frac{9}{16}}=}$${\displaystyle \frac{3}{4}}$.