Question

\(\dfrac{\sqrt{14}-7\sqrt{7}}{7-\sqrt{2}}-\dfrac{18}{\sqrt{7}-5}\)

Answer 1

\(=\dfrac{-\sqrt{7}\left(7-\sqrt{2}\right)}{7-\sqrt{2}}-\dfrac{18\left(\sqrt{7}+5\right)}{7-25}\)

\(=-\sqrt{7}+\sqrt{7}+5=5\)

Answer 2

\(=\dfrac{\sqrt{7}\left(\sqrt{2}-7\right)}{-\left(\sqrt{2}-7\right)}-\dfrac{18\left(\sqrt{7}+5\right)}{-18}\\ =-\sqrt{7}+\sqrt{7}+5=5\)