[tex]\frac{59}{\sqrt{3}+\sqrt{5}+\sqrt{7}}=\frac{)}59(\sqrt{3}+\sqrt{5}-\sqrt{7}{(\sqrt{3}+\sqrt{5})^{2}-7}\\=\frac{59(\sqrt{3}+\sqrt{5}-\sqrt{7})}{1+2\sqrt{15}}\\=\frac{59(\sqrt{3}+\sqrt{5}-\sqrt{7})(2\sqrt{15}-1)}{59}\\=(\sqrt{3}+\sqrt{5}-\sqrt{7})(2\sqrt{15}-1)[/tex]