Question

(√32 - √5)^1/3 (√32+√5)^1/3​

Answer 1

$(\sqrt{32} -\sqrt{5} )^{\frac{1}{3}} *(\sqrt{32} +\sqrt{5} )^{\frac{1}{3}}\\=((\sqrt{32} -\sqrt{5})*(\sqrt{32} +\sqrt{5} ))^{\frac{1}{3}}\\=((\sqrt{32})^{2} -(\sqrt{5})^{2})^{\frac{1}{3}}\\=(32-5)^{\frac{1}{3}}\\=27^{\frac{1}{3}}\\ =3$