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Radical Calculator

Simplify radicals, compute nth roots, add and subtract radical expressions, and rationalize denominators — all with detailed step-by-step solutions and factor tree visualization.

Radical Input

Choose a mode and enter your radical expression

Examples:
Enter values above

Prime Factorization

Simplified Form
exact result
Decimal Value
approximate
Perfect Root?
whole number result
Outside Coefficient
the number pulled out

Radical Rules & Identities

Product Rule

√(a·b) = √a · √b

Quotient Rule

√(a/b) = √a / √b

Power Rule

ⁿ√(aᵐ) = a^(m/n)

Rationalize

(a+√b)(a−√b) = a²−b