633° Вправа 633Алгебра 8 клас Тарасенкова 2025 · § 15 · стор. 189

633. Спростіть вираз:

1) ${\displaystyle \frac{\sqrt{mn}}{m}=}$${\displaystyle \frac{\cancel{\sqrt{m}}\cdot \sqrt{n}}{\cancel{\sqrt{m}}\cdot \sqrt{m}}=}$${\displaystyle \frac{\sqrt{n}}{\sqrt{m}}}$;

2) ${\displaystyle \frac{\sqrt{y}}{\sqrt{xy}}=}$${\displaystyle \sqrt{\frac{y}{xy}}=}$${\displaystyle \sqrt{\frac{1}{x}}=}$${\displaystyle \frac{1}{\sqrt{x}}}$;

3) ${\displaystyle \frac{\sqrt{5d}}{\sqrt{45d}}=}$${\displaystyle \sqrt{\frac{5d}{45d}}=}$${\displaystyle \sqrt{\frac{1}{9}}=}$${\displaystyle \frac{1}{3}}$;

4) ${\displaystyle \frac{\sqrt{cd}}{\sqrt{ad}}=}$${\displaystyle \sqrt{\frac{cd}{ad}}=}$${\displaystyle \sqrt{\frac{c}{a}}}$.