For this case we have the following expression:
[tex]\sqrt {29-12 \sqrt {5}}[/tex]
The expression can not be simplified, we can write its decimal form.
We have to:
[tex]12 \sqrt {5} = 26.83281572[/tex]
Then, replacing:
[tex]\sqrt {29-26.83281572} =\\\sqrt {2,16718428} =\\1.4721359584[/tex]
If we round up we have:
[tex]\sqrt {29-12 \sqrt {5}} = 1.47[/tex]
ANswer:
[tex]\sqrt {29-12 \sqrt {5}} = 1.47[/tex]