m²-2m√2+n²+2n√3+5=0[m²-2m√2+(√2)²]+[n²+2n√3+(√3)²]=0(m-√2)²+(n+√3)²=0∵(m-√2)²≥0,(n+√3)²≥0∴m-√2=0,n+√3=0∴m=√2,n=√3∴5m²=5*2=10,...