Convert the given product to a single radical. Assume all variables represent positive numbers. What is the simplified form of √(5)(ab)*√(3)(a^(2)b^(2))?

A) √(15)(a^(3)b^(3))
B) √(8)(a^(3)b^(3))
C) √(6)(a^(3)b^(3))
D) √(2)(a^(3)b^(3))