Difficulty: Easy
Correct Answer: 1.2
Explanation:
Introduction / Context:
This evaluates a nested operation: first a percentage of a number, then a square root. Compute in the correct order to avoid mistakes, turning the percentage into a decimal multiplier and then taking the square root exactly.
Given Data / Assumptions:
Concept / Approach:
Compute 3.6% of 40 as 0.036 * 40. Then take √ of the result. Recognize perfect decimal squares to simplify mental calculation (1.44 has square root 1.2).
Step-by-Step Solution:
Verification / Alternative check:
Note 12^2 = 144, so (1.2)^2 = 1.44. Thus the square root of 1.44 is precisely 1.2; no rounding necessary.
Why Other Options Are Wrong:
Common Pitfalls:
Treating 3.6% as 0.36 or 3.6 (misplacing the decimal), or taking the square root before computing the percentage.
Final Answer:
Discussion & Comments