1. What is the Square Root of Fractions?

The square root of a fraction equals the fraction of the square roots of numerator and denominator. This property is fundamental in simplifying radical expressions involving fractions.

2. How Does the Calculator Work?

The calculator uses the mathematical property:

Where:

• \( a \) — Numerator (must be ≥0)
• \( b \) — Denominator (must be >0)

Explanation: The calculator computes both the square root of the entire fraction and the fraction of the individual square roots.

3. Importance of Square Root Calculation

Details: This calculation is essential in algebra, physics, engineering, and statistics where fractional quantities under radicals need simplification.

4. Using the Calculator

Tips: Enter numerator and denominator values (must be positive numbers). The denominator cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: Can the numerator be negative?
A: No, the numerator must be ≥0 as square root of negative numbers is not real.

Q2: What if denominator is zero?
A: Division by zero is undefined, so denominator must be >0.

Q3: Does this work for complex numbers?
A: This calculator only handles real numbers. Complex roots require different handling.

Q4: How precise are the results?
A: Results are precise to 4 decimal places for the fractional form.

Q5: Can I use this for mixed numbers?
A: Convert mixed numbers to improper fractions first before using this calculator.