\(\sqrt{10+\sqrt{24}+\sqrt{40}+\sqrt{60}}\)
= \(\sqrt{\sqrt{10}\left(\sqrt{10}+\sqrt{6}\right)+\sqrt{4}\left(\sqrt{6}+\sqrt{10}\right)}\)
=\(\sqrt{\left(\sqrt{10}+\sqrt{6}\right)\left(\sqrt{10}+\sqrt{4}\right)}\)
\(\sqrt{10+\sqrt{24}+\sqrt{40}+\sqrt{60}}\)
=\(\sqrt{\sqrt{10}\left(\sqrt{10}+\sqrt{6}\right)+\sqrt{4}\left(\sqrt{6}+\sqrt{10}\right)}\)
=\(\sqrt{\left(\sqrt{10}+\sqrt{6}\right)\left(\sqrt{10}+\sqrt{4}\right)}\)