\(a,=\sqrt{\left(\sqrt{3}+\sqrt{5}\right)^2}=\sqrt{3}+\sqrt{5}\\ b,=\sqrt{3+2\sqrt{2}}=\sqrt{\left(\sqrt{2}+1\right)^2}=\sqrt{2}+1\\ c,=\sqrt{\left(2\sqrt{2}+\sqrt{3}\right)^2}=2\sqrt{2}+\sqrt{3}\\ d,=\sqrt{\left(3-\sqrt{5}\right)^2}=3-\sqrt{5}\\ e,=\sqrt{2\left(11-4\sqrt{6}\right)}=\sqrt{2\left(2\sqrt{2}-\sqrt{3}\right)^2}=\sqrt{2}\left(2\sqrt{2}-3\right)=4-3\sqrt{2}\\ f,=\sqrt{\left(3-\sqrt{7}\right)^2}=3-\sqrt{7}\\ g,=\sqrt{14-6\sqrt{5}}=\sqrt{\left(3-\sqrt{5}\right)^2}=3-\sqrt{5}\\ h,=\sqrt{2\left(2-\sqrt{3}\right)}\left(\sqrt{3}+1\right)=\sqrt{4-2\sqrt{3}}\left(\sqrt{3}+1\right)\\ =\left(\sqrt{3}-1\right)\left(\sqrt{3}+1\right)=2\\ k,=\sqrt{7}\left(\sqrt{3}+\sqrt{7}\right)\sqrt{\left(\sqrt{7}-\sqrt{3}\right)^2}=\sqrt{7}\left(\sqrt{7}+\sqrt{3}\right)\left(\sqrt{7}-\sqrt{3}\right)\\ =\sqrt{7}\left(7-3\right)=4\sqrt{7}\)
