Răspuns:
[tex]\frac{\sqrt{2}-5\sqrt{3} }{2}[/tex]
Explicație pas cu pas:
[tex]\frac{\sqrt{2} }{2} -\frac{5}{\sqrt{2} } *\frac{3}{\sqrt{6} } -\sqrt{6} ^2+6=[/tex]
[tex]\frac{\sqrt{2} }{2} -\frac{5}{\sqrt{2} } *\frac{3}{\sqrt{6} } -6+6=[/tex]
[tex]\frac{\sqrt{2} }{2} -\frac{5}{\sqrt{2} } *\frac{3}{\sqrt{6} } =[/tex]
[tex]\frac{\sqrt{2} }{2} -\frac{15}{\sqrt{12} } =[/tex]
[tex]\frac{\sqrt{2} }{2} -\frac{15}{2\sqrt{3} } =[/tex]
[tex]\frac{\sqrt{2} }{2} -\frac{15\sqrt{3} }{2*3} =[/tex]
[tex]\frac{\sqrt{2} }{2} -\frac{5\sqrt{3} }{2} =[/tex]
[tex]\frac{\sqrt{2}-5\sqrt{3} }{2}[/tex]
