Question

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

Answer 1

$frac{ sqrt{10}+ sqrt{6} }{sqrt{10}+ sqrt{6}}- frac{sqrt{10}- sqrt{6}}{sqrt{10}+ sqrt{6}} = frac{sqrt{10}+ sqrt{6}-sqrt{10}+ sqrt{6}}{sqrt{10}+ sqrt{6}}=$

$frac{2sqrt{6}}{sqrt{10}+ sqrt{6} }= frac{2 sqrt{6}*( {sqrt{10}- sqrt{6})}}{10-6 }}= frac{2 sqrt{60}-2*6}{4} = frac{4( sqrt{15}-3) }{4} = sqrt{15} -3$