Question

\(\sqrt{29-12\sqrt{5}}\)

Answer 1

\(\sqrt{29-12\sqrt{5}}\)

= \(\sqrt{3^2-2.3.2\sqrt{5}+\left(2\sqrt{5}\right)^2}\)

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

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

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

=.= hk tốt!!

Answer 2

\(=\sqrt{\left(2\sqrt{5}\right)^2-2\cdot2\sqrt{5}\cdot3+3^2}\)

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

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

Answer 3

\(\sqrt{29-12\sqrt{5}}=\sqrt{20-2.2\sqrt{5}.3+9}=\sqrt{\left(2\sqrt{5}-3\right)^2}=2\sqrt{5}-3\)