1. What is This Calculator For?

This calculator simplifies fractions involving the square root of 169 (which is 13). It calculates expressions of the form √(169/b) and simplifies them to 13/√b.

2. How Does the Calculator Work?

The calculator uses the mathematical identity:

Where:

• 169 — Perfect square number (13² = 169)
• b — Denominator (must be positive)
• 13 — Square root of 169

3. Mathematical Explanation

Details: This calculation uses the property that the square root of a fraction equals the fraction of square roots: √(a/b) = √a/√b. Since √169 = 13, the expression simplifies to 13/√b.

4. Using the Calculator

Tips: Enter any positive value for the denominator (b). The calculator will return the simplified form of √(169/b) as 13/√b.

5. Frequently Asked Questions (FAQ)

Q1: Why is 169 special in this calculation?
A: 169 is a perfect square (13 × 13), making its square root a clean integer value.

Q2: What happens if I enter 0 or negative numbers?
A: The calculator requires positive values only. Entering 0 or negative numbers will either be prevented or give invalid results.

Q3: Can this be used for other square roots?
A: This specific calculator is designed for √169 only. The same principle applies to other perfect squares.

Q4: What are practical applications of this calculation?
A: Such calculations appear in algebra, physics equations, and engineering formulas involving ratios and proportions.

Q5: How precise are the results?
A: Results are calculated to 6 decimal places by default, suitable for most practical applications.