Сократите дробь: (y^1/2+7)/(y+7y^(1/2)).

Ответ:

\[\frac{y^{\frac{1}{2}} + 7}{y + 7y^{\frac{1}{2}}} = \frac{y^{\frac{1}{2}} + 7}{y^{\frac{1}{2}}\left( y^{\frac{1}{2}} + 7 \right)} =\]

\[= \frac{1}{y^{\frac{1}{2}}} = \frac{1}{\sqrt{y}} = \frac{\sqrt{y}}{y}.\]