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Answer :

9514 1404 393

Answer:

  5p^2q√(3p)

Step-by-step explanation:

Factor out even powers, then remove those from under the radical.

  [tex]\sqrt{75p^5q^2}=\sqrt{5^2p^4q^2\times3p}=\boxed{5p^2q\sqrt{3p}}[/tex]