Question

 

√ 11 - √ 2      √ 11+√ 2   

  _______ +  _______ = 

  √ 11+√ 2     √ 11-√ 2 

Поможіть рішити пліз 

 

 

 

Answer 1

$frac{sqrt{11}-sqrt{2}}{sqrt{11}+sqrt{2}}+frac{sqrt{11}+sqrt{2}}{sqrt{11}-sqrt{2}}=frac{(sqrt{11}-sqrt{2})^2+(sqrt{11}+sqrt{2})^2}{(sqrt{11}+sqrt{2})(sqrt{11}-sqrt{2})}=frac{11-2sqrt{22}+2+11+2sqrt{22}+2}{11-2}=frac{26}{9}=2frac{8}{9}$