Answer: [tex]4/x/\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{48x^{2} }[/tex]
this could also be written as :
[tex]\sqrt{48}[/tex] x [tex]\sqrt{x^{2}}[/tex]
[tex]\sqrt{x^{2}}[/tex] = ±[tex]x[/tex] , so we have
[tex]\sqrt{48}/x/[/tex]
[tex]\sqrt{48}[/tex] could be written as: [tex]\sqrt{16}[/tex] x [tex]\sqrt{3}[/tex]
which will result into [tex]4\sqrt{3}[/tex]
combining all together , we have
[tex]4/x/\sqrt{3}[/tex]
Therefore , one of the factor of [tex]\sqrt{48x^{2} }[/tex] is [tex]4/x/\sqrt{3}[/tex]