∵a=(√2-1)/(√2+1)=(√2-1)^2/(√2+1)(√2-1)=3-2√2,
b=√2+1/√2-1=3+2√2,
a+b=6
ab=1
∴(a+b+ab)/(a²+b^2)
=(6+1)/[(a+b)^2-2ab]
=7/(36-2)
=7/34
a=(√2-1)/(√2+1)=(√2-1)^2=3-2√2
b=(√2+1)/(√2-1)=(√2+1)^2=3+2√2
(a+b+ab)/(a^2+b^2)
=[3-2√2+3+2√2+(3-2√2)(3+2√2)]/(9-12√2+8+9+12√2+8)
=(6+9-8)/34
=7/34