Răspuns:
[tex]\sqrt[2]{m*n}=\\m=12\sqrt{10} -12\\n=3+\sqrt{90}=3+3\sqrt{10} \\\\=>m*n=(12\sqrt{10}-12)*(3+3\sqrt{10})=36\sqrt{10}+360-36-36\sqrt{10}=324\\ =>\sqrt{m*n}=\sqrt{324}=18[/tex]
Explicație pas cu pas: