Question

\(\sqrt{6-2\sqrt{5}}\)

Answer 1

\(=\sqrt{5}-1\)

Answer 2

`sqrt{ 6 - 2sqrt{5} }`

`= sqrt{5 -2sqrt{5} +1}`

`=sqrt( ( sqrt{5} - 1)^2 )`

`=|sqrt{5} -1|`

`= sqrt{5}-1`

Answer 3

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

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

\(=\left|\sqrt{5}-1\right|\)

\(=\sqrt{5}-1\)