Rationalize Denominator Calculator
Rationalize fractions with square roots in denominator. Multiply by conjugate to eliminate radicals.
Formula
Multiply by √denominator/√denominator to remove radical
- a/√b = (a/√b) × (√b/√b) = a√b/b
- Conjugates: (a+√b)(a-√b) = a² − b
- Goal: Eliminate radicals from denominator
- Numerator may contain radicals
Example
Inputs
- Numerator: 3
- Denominator (under √): 2
3/√2 × √2/√2 = 3√2/2 ≈ 2.121
Frequently asked questions
Why rationalize?
Removes radicals from denominators, making fractions easier to work with and compare.
Can I rationalize cube roots?
Yes, multiply by ∛x²/∛x² to make denominator x (since ∛x × ∛x² = x).