Question

Чему равно значение выражения $(sqrt[4]{3}-sqrt[4]{2} )(sqrt[4]{3}+sqrt[4]{2} )(sqrt{3}+sqrt{2} )$

Answer 1

$(sqrt[4]{3}-sqrt[4]{2} )(sqrt[4]{3}+sqrt[4]{2} )(sqrt{3}+sqrt{2}  )=(sqrt{3}-sqrt{2})(sqrt{3}+sqrt{2})=3-2=1$

(a-b)(a+b)=a²-b²

Answer 2

$(sqrt[4]{3}-sqrt[4]{2})(sqrt[4]{3}+sqrt[4]{2})(sqrt{3}+sqrt{2})=((sqrt[4]{3})^{2}-(sqrt[4]{2})^{2})(sqrt{3}+sqrt{2})=(sqrt{3}-sqrt{2})(sqrt{3}+sqrt{2})=(sqrt{3})^{2}-(sqrt{2})^{2}=3-2=1$