Simplest Radical Form Calculator

About the Simplified Radical Calculator

The simplified radical calculator simplifies square root expressions. It reduces a radical like √n to its simplest form a√b, where b no longer contains any square factors. This tool is especially useful for:

• Students simplifying radicals quickly for math homework.
• Teachers preparing teaching materials.
• Anyone working with square roots in math.

The calculator supports several input formats, recognizes them intelligently, and outputs the simplest result following math conventions.

How to Use

1. Enter data: type the radical you want to simplify. Supported formats: a plain number (e.g., "50" means √50), a standard radical (e.g., "√12"), or a radical with a coefficient (e.g., "2√8").
2. Calculate: click the "Calculate" button. The system parses the expression, finds the largest square factor of the radicand, and simplifies it to the form a√b.
3. View the result: the result appears in two output boxes: the first shows the coefficient a, and the second shows the number b under the radical.

Examples

• Input √12 → output 2√3 (12 = 4 × 3, √4 = 2)
• Input 2√18 → output 6√2 (18 = 9 × 2, 2 × √9 = 6)
• Input 50 → output 5√2 (50 = 25 × 2, √25 = 5)
• Input √72 → output 6√2 (72 = 36 × 2, √36 = 6)
• Input 3√8 → output 6√2 (8 = 4 × 2, 3 × √4 = 6)

Other Functions

• Clear: click the "Clear" button to reset all inputs and outputs.
• Example: click the "Example" button to get a random sample.

Tips

• When the coefficient is 1, it is omitted (e.g., √3 is shown as "1 × √3").
• When the radicand is a perfect square, the second box is empty (e.g., √4 is shown as "2 × √").
• You can compute several expressions in a row without clearing each time.