Question

Answer 1

\(\)\(=>A^2=17+4\sqrt{13}+17-4\sqrt{13}-2\sqrt{\left(17+4\sqrt{13}\right)\left(17-4\sqrt{13}\right)}\)

\(A^2=34-2\sqrt{289-208}=34-2.9=16=>A=4\)

\(=>B=3x-1-\sqrt{\left(2x\right)^2-2.2x.3+3^2}=3x-1-\sqrt{\left(2x-3\right)^2}\)

\(=3x-1-\left|2x-3\right|\)

\(=3.2021-1-\left|2.2021-3\right|=2023\)

Answer 2

a) Ta có: \(A=\sqrt{17+4\sqrt{13}}-\sqrt{17-4\sqrt{13}}\)

\(=\sqrt{13}+2-\left(\sqrt{13}-2\right)\)

=4