Concept:Expand the product of two binomial surds and compare the rational and irrational parts to find the value of q.Explanation:Expand the left-hand side using distribution:(3−52)(3+2)=3(3+2)−52(3+2)Simplify each term:3⋅3=33⋅2=6−52⋅3=−56−52⋅2=−10Combine like terms:3−10+6−56=−7−46Compare with p+q6:−7−46=p+q6Therefore, q=−4.Answer:q=−4Option A is correct.