Question

(∜(3 )- ∜2)(∜3+∜2)(√3+√2) спростить

Answer 1

$\displaystyle (\sqrt[4]3-\sqrt[4]2)(\sqrt[4]3+\sqrt[4]2)(\sqrt3+\sqrt2)\\\\(\sqrt[4]{3^2}-\sqrt[4]{2^2})(\sqrt3+\sqrt2)\\\\(\sqrt3-\sqrt2)(\sqrt3+\sqrt2)\\\\\sqrt{3^2}-\sqrt{2^2}\\\\3-2\\\\\boxed{1}\\\\\\\\\\a^2-b^2=(a-b)(a+b)$