Question

Tính \(\sqrt{13+4\sqrt{3}}\) -\(\left(2\sqrt{3}-2018\right)\)

Answer 1

\(\sqrt{13+2.2\sqrt{3}}-\left(2\sqrt{3}-2018\right)\)

= \(\sqrt{\left(2\sqrt{3}\right)^2+2.2\sqrt{3}+1}-\left(2\sqrt{3}-2018\right)\)

= \(\sqrt{\left(2\sqrt{3}+1\right)^2}-\left(2\sqrt{3}-2018\right)\)

= \(2\sqrt{3}+1-2\sqrt{3}+2018=2019\)