Question

a,\(\sqrt{8+2\sqrt{15}}\) -\(\sqrt{6+2\sqrt{15}}\)

b, \(\sqrt{17-2\sqrt{72}}-\sqrt{19+2\sqrt{18}}\)

c, \(\sqrt{8-2\sqrt{7}}+\sqrt{8+2\sqrt{7}}\)

d, \(\sqrt{12+2\sqrt{11}}-\sqrt{12-2\sqrt{11}}\)

e, \(\sqrt{10-2\sqrt{21}}-\sqrt{9-2\sqrt{14}}\)

Answer 1

\(a,\sqrt{8+2\sqrt{15}}-\sqrt{6+2\sqrt{5}}\\ =\sqrt{3}+\sqrt{5}-\left(\sqrt{5}+1\right)=\sqrt{3}-1\\ b,=3-2\sqrt{2}-\left(3\sqrt{2}+1\right)=2-5\sqrt{2}\\ c,=\sqrt{7}-1+\sqrt{7}+1=2\sqrt{7}\\ d,=\sqrt{11}+1-\left(\sqrt{11}-1\right)=2\\ e,=\sqrt{7}-\sqrt{3}-\left(\sqrt{7}-\sqrt{2}\right)=\sqrt{2}-\sqrt{3}\)