Question

rút gọn

\(C=\left(\sqrt{11+2\sqrt{30}}-\sqrt{8-4\sqrt{3}}\right)\left(\sqrt{5}+\sqrt{2}\right)\)

Answer 1

\(\Leftrightarrow C=\left(\sqrt{\left(\sqrt{5}+\sqrt{6}\right)^2}-\sqrt{\left(\sqrt{6}-\sqrt{2}\right)^2}\right)\left(\sqrt{5}+\sqrt{2}\right)\)

\(\Leftrightarrow C=\left(\sqrt{5}+\sqrt{6}-\sqrt{6}+\sqrt{2}\right)\left(\sqrt{5}+\sqrt{2}\right)\)

\(\Leftrightarrow C=\left(\sqrt{5}+\sqrt{2}\right)\left(\sqrt{5}+\sqrt{2}\right)\)

\(\Leftrightarrow C=\left(\sqrt{5}+\sqrt{2}\right)^2\)