Bài 1;
\(A=\sqrt{4+2\sqrt{3}}-\sqrt{3}+1\)
\(A=\sqrt{3+2\sqrt{3}.1+1}-\sqrt{3}+1\)
\(A=\sqrt{\left(\sqrt{3}+1\right)^2}-\sqrt{3}+1\)
\(A=\sqrt{3}+1-\sqrt{3}+1\)
\(A=2\)
\(B=\sqrt{27-8\sqrt{11}}+\sqrt{11}\)
\(B=\sqrt{27-2.4\sqrt{11}}+\sqrt{11}\)
\(B=\sqrt{27-2.\sqrt{16}\sqrt{11}}+\sqrt{11}\)
\(B=\sqrt{16-2.\sqrt{16}\sqrt{11}+11}+\sqrt{11}\)
\(B=\sqrt{\left(\sqrt{16}-\sqrt{11}\right)^2}+\sqrt{11}\)
\(B=\sqrt{16}-\sqrt{11}+\sqrt{11}\)
\(B=\sqrt{16}\\ B=4\)
\(C=\sqrt{4+2\sqrt{3}}-\sqrt{4-2\sqrt{3}}\\ C=\sqrt{3+2\sqrt{3}.1+1}-\sqrt{3-2\sqrt{3}.1+1}\\ C=\sqrt{\left(\sqrt{3}+1\right)^2}-\sqrt{\left(\sqrt{3}-1\right)^2}\\ C=\sqrt{3}+1-\sqrt{3}+1\\ C=2\)
\(D=\sqrt{11-6\sqrt{2}}-\sqrt{11+6\sqrt{2}}\\ D=\sqrt{11-2\sqrt{2}\sqrt{9}}-\sqrt{11+2\sqrt{2}\sqrt{9}}\\ D=\sqrt{2-2\sqrt{2}\sqrt{9}+9}-\sqrt{2+2\sqrt{2}\sqrt{9}+9}\\ D=\sqrt{\left(\sqrt{9}-\sqrt{2}\right)^2}-\sqrt{\left(\sqrt{9}+\sqrt{2}\right)^2}\\ D=\sqrt{9}-\sqrt{2}-\sqrt{9}-\sqrt{2}\\ =D=-2\sqrt{2}\)
