Question

thực hiện phép tính

\(\sqrt[3]{45+29\sqrt{2}}+\sqrt[3]{45-29\sqrt{2}}\)

Answer 1

\(\sqrt[3]{45+29\sqrt{2}}+\sqrt[3]{45-29\sqrt{2}}\)

\(=\sqrt[3]{27+27\sqrt{2}+18+2\sqrt{2}}+\sqrt[3]{27-27\sqrt{2}+18-2\sqrt{2}}\)

\(=\sqrt[3]{\left(3+\sqrt{2}\right)^3}+\sqrt[3]{\left(3-\sqrt{2}\right)^3}\)

\(=3+\sqrt{2}+3-\sqrt{2}=6\)

Answer 2

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)