√(10)+√(6) _ √(10)-√(6)  √(10)+√(6)    √(10)+√(6)   помогите упростить

[latex] \frac{ \sqrt{10}+ \sqrt{6} }{\sqrt{10}+ \sqrt{6}}- \frac{\sqrt{10}- \sqrt{6}}{\sqrt{10}+ \sqrt{6}} = \frac{\sqrt{10}+ \sqrt{6}-\sqrt{10}+ \sqrt{6}}{\sqrt{10}+ \sqrt{6}}= [/latex] [latex]\frac{2\sqrt{6}}{\sqrt{10}+ \sqrt{6} }= \frac{2 \sqrt{6}*( {\sqrt{10}- \sqrt{6})}}{10-6 }}= \frac{2 \sqrt{60}-2*6}{4} = \frac{4( \sqrt{15}-3) }{4} = \sqrt{15} -3[/latex]