Explicație pas cu pas:
a)
[tex]a=(\frac{4\sqrt{3} }{3} -\frac{7\sqrt{2} }{2} )*\sqrt{6} +7\sqrt{3} -12[/tex]
[tex]a=\frac{8\sqrt{3} -21\sqrt{2}}{6}*\sqrt{6} +7\sqrt{3} -12[/tex]
[tex]a=\frac{\sqrt{6}(8\sqrt{3} -21\sqrt{2}) +42\sqrt{3}}{6}-12[/tex]
[tex]a=\frac{24\sqrt{2} -42\sqrt{3} +42\sqrt{3}}{6}-12[/tex]
[tex]a=\frac{24\sqrt{2}}{6} -12[/tex]
[tex]a=4\sqrt{2} -12[/tex]
[tex]a=4(\sqrt{2} -3)[/tex]
b)
[tex]b=\sqrt{36+64} -\frac{8\sqrt{2} }{2}[/tex]
[tex]b=\sqrt{100} -4\sqrt{2}[/tex]
[tex]b=10 -4\sqrt{2}[/tex]
[tex](a+b)^{10} =(4\sqrt{2}-12+10-4\sqrt{2} )^{10} =(-2)^{10} =1024[/tex]
