Question

\(\sqrt{5-\sqrt{6}}-\sqrt{5+\sqrt{6}}\)

Answer 1

\(A=\sqrt{5-\sqrt{6}}-\sqrt{5+\sqrt{6}}\)

5-căn 6<5+căn 6

=>căn 5-căn 6<căn 5+căn 6

=>A<0

\(A^2=5-\sqrt{6}+5+\sqrt{6}-2\cdot\sqrt{25-6}\)

=>\(A^2=10-2\sqrt{19}\)

=>\(A=-\sqrt{10-2\sqrt{19}}\)