Question

Rút gọn:

B = \(\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}\)

Answer 1

\(B=\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}\)

\(=\sqrt{5}-\sqrt{3-\sqrt{\left(2\sqrt{5}-3\right)^2}}\)

\(=\sqrt{5}-\sqrt{3-2\sqrt{5}+3}=\sqrt{5}-\sqrt{6-2\sqrt{5}}\)

\(=\sqrt{5}-\sqrt{\left(\sqrt{5}-1\right)^2}=\sqrt{5}-\sqrt{5}+1=1\)