Question

[friknob]

HELP ME OR DIE

Answer 1

[Hồng Phúc]

1.

\(A=\sqrt[3]{6\sqrt{3}+10}-\sqrt[3]{6\sqrt{3}-10}\)

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

\(=\sqrt{3}+1-\sqrt{3}+1=2\)

Answer 2

[Hồng Phúc]

2.

\(B=\sqrt{3+\sqrt{3}+\sqrt[3]{6\sqrt{3}+10}}\)

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

\(=\sqrt{3+\sqrt{3}+\sqrt{3}+1}\)

\(=\sqrt{4+2\sqrt{3}}\)

\(=\sqrt{\left(\sqrt{3}+1\right)^2}=\sqrt{3}+1\)