a) \(A=\sqrt{6-2\sqrt{5}}=\sqrt{\left(\sqrt{5}-1\right)^2}=\left|\sqrt{5}-1\right|=\sqrt{5}-1\)
b) \(B=\sqrt{4-\sqrt{12}}=\sqrt{\left(\sqrt{3}-1\right)^2}=\left|\sqrt{3}-1\right|=\sqrt{3}-1\)
c) \(C=\sqrt{19-8\sqrt{3}}=\sqrt{\left(4-\sqrt{3}\right)^2}=\left|4-\sqrt{3}\right|=4-\sqrt{3}\)
d) \(D=\sqrt{5-2\sqrt{6}}=\sqrt{\left(\sqrt{3}-\sqrt{2}\right)^2}=\left|\sqrt{3}-\sqrt{2}\right|=\sqrt{3}-\sqrt{2}\)
a) \(A=\sqrt{6-2\sqrt{5}}=\sqrt{5}-1\)
b) \(B=\sqrt{4-\sqrt{12}}=\sqrt{3}-1\)
c) \(C=\sqrt{19-8\sqrt{3}}=4-\sqrt{3}\)
d) \(D=\sqrt{5-2\sqrt{6}}=\sqrt{3}-\sqrt{2}\)