a) \(\sqrt{3+2\sqrt{2}}-\sqrt{3-2\sqrt{2}}=\sqrt{2}+1-\sqrt{2}+1=2\)
b) \(\sqrt{7+2\sqrt{6}}-\sqrt{7-2\sqrt{6}}=\sqrt{6}+1-\sqrt{6}+1=2\)
c) \(\sqrt{9-2\sqrt{8}}-\sqrt{9+2\sqrt{8}}=\sqrt{8}-1-\sqrt{8}-1=-2\)
d) \(\sqrt{16-2\sqrt{15}}+\sqrt{16+2\sqrt{15}}=\sqrt{15}-1+\sqrt{15}+1=2\sqrt{15}\)
a: \(\sqrt{3+2\sqrt{2}}-\sqrt{3-2\sqrt{2}}\)
\(=\sqrt{2}+1-\sqrt{2}+1\)
=2
b: \(\sqrt{7+2\sqrt{6}}-\sqrt{7-2\sqrt{6}}\)
\(=\sqrt{6}+1-\sqrt{6}+1\)
=2