Question

^y=3√(10+6√3) +³√(10-6√3)

Giải hộ mình luôn nha nếu được giải chi tiết nhé

Answer 1

\(\text{Y}=\sqrt[3]{\left(10+6\sqrt{3}\right)}+\sqrt[3]{\left(10-6\sqrt{3}\right)}\)

\(\text{Y}=\sqrt[3]{\left(\sqrt{3}\right)^2+3.\left(\sqrt{3}\right)^2.1+3\sqrt{3}.1^2+1^3}-\sqrt[3]{\left(\sqrt{3}\right)^3-3.\left(\sqrt{3}\right)^2.1+3\sqrt{3.1^2-1^3}}\)

\(\text{Y}=\sqrt[3]{\left(\sqrt{3}+1\right)^3}-\sqrt[3]{\left(\sqrt{3}\right)-1^3}\)

\(\text{Y}=\left(\sqrt{3}+1\right)-\left(\sqrt{3}-1\right)\)

\(\Rightarrow\text{Y}=2\)