若a,b为实数,且有a,b满足a平方+b平方+2根号2b+10-4根号2a=0,则a+b=

a²+b²+2b√2+10-4a√2=0
a²-4a√2+8+b²+2b√2+2=0
(a-2√2)²+(b+√2)²=0
∴a-2√2=0 b+√2=0
a=2√2 b=-√2
∴a+b=2√2-√2=√2