\(z_1=4+3\sqrt{2}i\) \(z_2=2+5\sqrt{2}i\)
\(z_1+z_2=6+8\sqrt{2}i\), \(z_1-z_2=2-2\sqrt{2}i\) \(z_1\cdot z_2=-22+26\sqrt{2}i\)
The conjugate of \(z_2\) is \(2-5\sqrt{2}i\)