Square Root Calculator That Does Fractions

How to Use This Calculator

To calculate the square root of a fraction:

1. Enter the numerator of your fraction in the first input field.
2. Enter the denominator of your fraction in the second input field.
3. Click the "Calculate" button to see the result.
4. The calculator will display the square root of your fraction in its simplest radical form.

You can also use the "Reset" button to clear all inputs and start over.

How to Calculate Square Roots of Fractions

The square root of a fraction is calculated by taking the square root of the numerator and the denominator separately. The formula is:

Where:

• a is the numerator
• b is the denominator

After calculating the square roots of the numerator and denominator, you may need to simplify the resulting fraction.

Examples of Square Roots of Fractions

Example 1: Simple Fraction

Calculate √(4/9):

1. √4 = 2
2. √9 = 3
3. √(4/9) = 2/3

The square root of 4/9 is 2/3.

Example 2: Improper Fraction

Calculate √(16/25):

1. √16 = 4
2. √25 = 5
3. √(16/25) = 4/5

The square root of 16/25 is 4/5.

Example 3: Mixed Number

Calculate √(3/4):

1. Convert 3/4 to an improper fraction: 3/4
2. √3 ≈ 1.732
3. √4 = 2
4. √(3/4) ≈ 1.732/2 ≈ 0.866

The square root of 3/4 is approximately 0.866.