Difficulty: Easy
Correct Answer: 324
Explanation:
Introduction / Context: This is a straightforward equation involving square roots and rational numbers.
Given Data / Assumptions: √(x/169) = 18/13.
Concept / Approach: Square both sides to eliminate the root, then solve for x.
Step-by-Step Solution: (x/169) = (18/13)^2 = 324/169.Multiply both sides by 169: x = 324.
Verification / Alternative check: Substitute back: √(324/169) = 18/13, true.
Why Other Options Are Wrong: Other values do not satisfy the equality when substituted.
Common Pitfalls: Forgetting to square both numerator and denominator when squaring a fraction.
Final Answer: 324
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