\(\sqrt{12+2\sqrt{35}}=\sqrt{7+2\sqrt{7.5}+5}=\sqrt{\left(\sqrt{7}+\sqrt{5}\right)^2}=\sqrt{7}+\sqrt{5}\)
\(\sqrt{12+2\sqrt{35}}=\sqrt{5}+\sqrt{7}\)
\(\sqrt{12+2\sqrt{35}}=\sqrt{\left(\sqrt{5}+\sqrt{7}\right)^2}=\left|\sqrt{5}+\sqrt{7}\right|=\sqrt{5}+\sqrt{7}\)
√12+2√35=√(√5+√7)2=∣∣√5+√7∣∣=√5+√7
\(\sqrt{12+2\sqrt{35}}=\sqrt{7}+\sqrt{5}\)