Question

упростите выражение (r-7r^(1/2))/(r^(1/2)-7)

Answer 1

Ответ:

$\displaystyle \sqrt r$

Объяснение:

$\displaystyle \frac{r - 7r^{\frac 1 2}}{r^{\frac 1 2}-7} = \frac{r^{\frac 1 2}(r^{1 - \frac 1 2}-7)}{r^{\frac 1 2}-7} = \frac{r^{\frac 1 2}(r^{\frac 1 2}-7)}{r^{\frac 1 2}-7} = r^{\frac 1 2} = \sqrt r$