Math / CALCULATOR

Rationalize an Integer over a Square Root

Rationalize an Integer over a Square Root with a worked example and explicitly bounded inputs.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

Enter numerator.
Enter denominator radicand.

Formula

a/√b=a√b/b; simplify the square root and rational coefficient.
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Single integer numerator and positive integer square-root denominator; no binomial denominators.

Example Calculation

Example inputs
  • Numerator: 3
  • Denominator radicand: 12

Numerator = 3; Denominator radicand = 12. Primary result: 1√3 / 2.

Frequently asked questions

How do I use this calculator?

Enter numerator, denominator radicand. The result updates automatically. Use Reset to restore the example values.

What method does it use?

a/√b=a√b/b; simplify the square root and rational coefficient.. Single integer numerator and positive integer square-root denominator; no binomial denominators.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.