Solve for the missing number: If √(?) / 200 = 0.02, then what is the value of ?

Difficulty: Easy

Correct Answer: 16

Explanation:

Introduction / Context:
This is a direct equation with a square root. Isolate the root term first, then square both sides to remove the radical.

Given Data / Assumptions:
√(?) / 200 = 0.02.

Concept / Approach:
Multiply both sides by 200 to isolate √(?), then square.

Step-by-Step Solution:

√(?) = 0.02 * 200 = 4? = 4^2 = 16

Verification / Alternative check:
Plug back: √16 / 200 = 4 / 200 = 0.02. Correct.

Why Other Options Are Wrong:
0.4, 1.6, 4, 400 stem from stopping early or squaring/multiplying incorrectly.

Common Pitfalls:
Squaring only one side or forgetting to isolate the square root before squaring.

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