Clarified grouping of radicals and divisors: Compute (√324) / 1.5 = ? / √256 and find the value of ?.

Introduction / Context:The original expression can be ambiguous without parentheses. Interpreting it as (√324) / 1.5 = ? / √256 matches the provided numeric options. We solve for the unknown numerator.

Given Data / Assumptions:

• (√324)/1.5 = ? / √256.
• √324 = 18; √256 = 16.

Concept / Approach:Evaluate both square roots, compute the left-hand side, then cross-multiply to find ?.

Step-by-Step Solution:

Verification / Alternative check:Substitute back: 192 / 16 = 12, which equals 18 / 1.5. Consistent.

Why Other Options Are Wrong:

• 432, 288, 122, 64 do not satisfy ? / 16 = 12.

Common Pitfalls:Misreading the original as √(324/1.5), which would introduce an irrational factor not present in the options.

Final Answer:192