Answer: [tex]5\sqrt{3}\\\\[/tex]
Work Shown:
[tex]\sqrt{75} = \sqrt{25*3}\\\\\sqrt{75} = \sqrt{25}*\sqrt{3}\\\\\sqrt{75} = 5\sqrt{3}\\\\[/tex]
As the steps indicate, we pull out the largest perfect square factor (25) and use the rule [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}\\\\[/tex] to break up the root.
