\( \Large 1 + \frac{x}{144} = \frac{169}{144} \)
\( \Large \frac{x}{144} = \frac{169}{144} - 1 \)
\( \Large \frac{x}{144} = \frac{25}{144} \)
\( \Large x = 25 \)
\( \Large \sqrt{5}-\sqrt{4}+\sqrt{4}-\sqrt{3}+\sqrt{3}-\sqrt{2}+\sqrt{2}-\sqrt{5} = 0 \)