Question

\(\sqrt{\left(\sqrt{3}-3\right)^2}\) + \(\sqrt{4-2\sqrt{3}}\)

 

Answer 1

`sqrt{(sqrt{3} - 3)^2} + sqrt{4 - 2sqrt{3}}`

`= |sqrt{3} - 3| + sqrt{(sqrt{3})^2 - 2sqrt{3} + 1^2}`

`= |sqrt{3} - 3| + sqrt{(sqrt{3} - 1)^2}`

`= 3 - sqrt{3} + |sqrt{3} - 1|`

`= 3 - sqrt{3} + sqrt{3} - 1`

`= 2`

Answer 2

\(\sqrt{\left(\sqrt{3}-3\right)^2}+\sqrt{4-2\sqrt{3}}\)

\(=\left|\sqrt{3}-3\right|+\sqrt{\left(\sqrt{3}-1\right)^2}\)

\(=3-\sqrt{3}+\sqrt{3}-1=2\)

Answer 3