[tex]a= \frac{11}{2} * \sqrt{3+1} =\frac{11}{2} * \sqrt{4} =\frac{11}{2}*2=11 \\
b= \sqrt{24} : \sqrt{2+1}= \sqrt{24} : \sqrt{3} = \sqrt{8} = 2\sqrt{2} \\
ma_{(a,b)} = \frac{a+b}{2} = \frac{11+2 \sqrt{2} }{2} \\
mg_{(a,b)}= \sqrt{a*b} = \sqrt{11*2 \sqrt{2} } = \sqrt{22\sqrt{2} } \\
a^{2} - b^{2} =121-4*2=121-8=113 \\
a-b+2ab=11-2\sqrt{2}+2*11*2 \sqrt{2} =11-2 \sqrt{2} +44 \sqrt{2} = \\
=11+42 \sqrt{2} [/tex]
