Question

8. Обчислити: √7+√5/√7-√5 - √35​

Answer 1

$\frac{\sqrt{7}+\sqrt{5}}{\sqrt{7}-\sqrt{5} }-\sqrt{35}=\frac{(\sqrt{7}+\sqrt{5})(\sqrt{7}+\sqrt{5} ) }{(\sqrt{7}-\sqrt{5})(\sqrt{7}+\sqrt{5} )} -\sqrt{35}=\frac{7+2\sqrt{35}+5 }{7-5}-\sqrt{35}=6+\sqrt{35}-\sqrt{35}= 6$