Question

обчислити √7+√5/√7-√5=√3
20 балов​

Answer 1

Ответ:

$\dfrac{\sqrt7+\sqrt5}{\sqrt7-\sqrt5}=\dfrac{(\sqrt7+\sqrt5)(\sqrt7+\sqrt5)}{(\sqrt7-\sqrt5)(\sqrt7+\sqrt5)}=\dfrac{(\sqrt7+\sqrt5)^2}{7-5}=\dfrac{12+2\sqrt{35}}{2}=6+\sqrt{35}$