638° Вправа 638Алгебра 8 клас Тарасенкова 2025 · § 15 · стор. 191

638. Внесіть множник під знак кореня:

1) ${\displaystyle 5\sqrt{c}=}$${\displaystyle \sqrt{5^2\cdot c}=}$${\displaystyle \sqrt{25c}}$;

2) ${\displaystyle c<0}$: ${\displaystyle c\sqrt{a}=}$${\displaystyle -\sqrt{c^2\cdot a}=}$${\displaystyle -\sqrt{c^{2}a}}$;

3) ${\displaystyle m>0}$, ${\displaystyle n>0}$: ${\displaystyle mn\sqrt{2}=}$${\displaystyle \sqrt{{\left(mn\right)}^2\cdot 2}=}$${\displaystyle \sqrt{2m^2{n}^2}}$;

4) ${\displaystyle m<0}$, ${\displaystyle n>0}$: ${\displaystyle mn\sqrt{3}=}$${\displaystyle -\sqrt{{\left(mn\right)}^2\cdot 3}=}$${\displaystyle -\sqrt{3m^2{n}^2}}$.