Question

помогите решииить))))

Answer 1

$frac{sqrt{3}-sqrt{2}}{sqrt[4]{3}+sqrt[4]{2}}=\ frac{(sqrt[4]{3}-sqrt[4]{2})(sqrt{3}-sqrt{2}))}{sqrt{3}-sqrt{2}}=\ frac{(sqrt[4]{3}-sqrt[4]{2})*(3-2)}{(3-2)}=sqrt[4]{3} - sqrt[4]{2}$

$frac{19}{sqrt[3]{100}-sqrt[3]{90}+sqrt[3]{81}}-sqrt[3]{10}-sqrt[3]{9}=\ frac{19-sqrt[3]{10}(sqrt[3]{100}-sqrt[3]{90}+sqrt[3]{81})-sqrt[3]{9}(sqrt[3]{100}-sqrt[3]{90}+sqrt[3]{81})}{sqrt[3]{100}-sqrt[3]{90}+sqrt[3]{81}}=$
$frac{19-10+sqrt[3]{900}-sqrt[3]{810}-sqrt[3]{900}+sqrt[3]{810}-9}{sqrt[3]{100}-sqrt[3]{90}+sqrt[3]{81}}=0$