Difficulty: Easy
Correct Answer: 0.577
Explanation:
Introduction / Context:
This is a reciprocal radical approximation. With √3 given, compute its reciprocal to three decimal places commonly used in aptitude questions.
Given Data / Assumptions:
√3 ≈ 1.732.
Concept / Approach:
1/√3 = 1 / 1.732. Perform the division to obtain the decimal approximation.
Step-by-Step Solution:
Verification / Alternative check:
Multiply back: 0.577 * 1.732 ≈ 0.999 (close to 1), confirming the approximation.
Why Other Options Are Wrong:
0.617 and 0.313 are off the true reciprocal; 0.173 is much too small; 0.707 is 1/√2, not 1/√3.
Common Pitfalls:
Confusing reciprocals of √2 and √3 due to common values 0.707 and 0.577.
Final Answer:
0.577
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