[tex] \sqrt[3]{12- \sqrt{19} } * \sqrt[3]{12+ \sqrt{19}

Question

[tex] \sqrt[3]{12- \sqrt{19} } * \sqrt[3]{12+ \sqrt{19}

Answer 1

Root[3](12 - sqrt 19) * root[3](12 + sqrt 19) = root[3](12^2 - (sqrt 19)^2) = root[3](144 - 19) = root[3] 125 = 5