Given √3 ≈ 1.732, find the approximate value of 1/√3.

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