Question

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

Answer 1

Ta có:\(\sqrt{29-12\sqrt{5}}=\sqrt{9-2.3.2\sqrt{5}+20}=\sqrt{\left(3-2\sqrt{5}\right)^2}=3-2\sqrt{5}\)

Answer 2

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

\(=\sqrt{20-2\cdot2\sqrt{5}\cdot3+9}\)

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

Answer 3

`\sqrt(29-12\sqrt5)`

`= \sqrt(20-12\sqrt5+9)`

`= \sqrt((2\sqrt5)^2 -2.2\sqrt5 .3 +3^2)`

`= \sqrt((2\sqrt5-3)^2)`

`=2\sqrt5-3`