a=2,b=2√2,C=15°=π/12c^2=a^2+b^2-2abcosC=4+8-2*2*2√2cos(π/12)=12-8√2cos(π/12)=12-8√2√{[1+cos(π/6)]/2}=12-8√[1+√3/2]=12-8√[(4+2√3)/4]=12-8[(1+√3)/2]=12-4(1+√3)=8-4√3=2(4-2√3)=2(2√3-1)^2=(2√6-√2)^2c=2√6-√2