Question

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

Answer 1

`sqrt{(2-sqrt3)^2/5}`

`=|2-sqrt3|/sqrt5`

Vì `2=sqrt4>sqrt3=>2-sqrt3>0`

`=>|2-sqrt3|=2-sqrt3`

`=>sqrt{(2-sqrt3)^2/5}=(2-sqrt3)/sqrt5`

`=(2sqrt5-sqrt15)/5`

Answer 2

\(\sqrt{\dfrac{\left(2-\sqrt{3}\right)^2}{5}}=\dfrac{2\sqrt{5}-\sqrt{15}}{5}\)