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

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