[tex] \sqrt{848} = \sqrt{16 \cdot 53} = \sqrt{16} \cdot \sqrt{53} =\boxed{4 \sqrt{53} } \\ \sqrt{432} = \sqrt{16 \cdot 27} = \sqrt{16} \cdot \sqrt{27} =4 \cdot \sqrt{9 \cdot 3} =4 \cdot \sqrt{9} \cdot \sqrt{3} = \\ =4 \cdot 3 \cdot \sqrt{3} =\boxed{12 \sqrt{3} }[/tex]
