jmc

Writing everything in terms of prime factorizations, the given expression is $\sqrt{2\cdot 3\cdot 5\cdot 5\cdot 2\cdot 3\cdot p^3}=\sqrt{(2^2\cdot 3^2\cdot 5^2\cdot p^2)\cdot (p)}=\boxed{30p\sqrt{p}}$.