Radical Calculator

Simplify radical expressions, calculate root values, analyze mathematical properties

Example Radicals

Operation Type

Radicand (number under radical)

Index (root type)

Expression:

√18

Common Indices:

• Index 2: square root (√)

• Index 3: cube root (∛)

• Index 4: fourth root (⁴√)

• Index n: nth root (ⁿ√)

Product Rule:

ⁿ√(ab) = ⁿ√a × ⁿ√b

Quotient Rule:

ⁿ√(a/b) = ⁿ√a / ⁿ√b

Power Rule:

ⁿ√(aᵐ) = a^(m/n)

Root of Root:

ᵐ√(ⁿ√a) = ᵐⁿ√a

Geometry:

Distance calculations, Pythagorean theorem, area formulas.

Physics:

Wave equations, quantum mechanics, relativity calculations.

Engineering:

Signal processing, structural analysis, optimization.

Finance:

Compound interest, risk calculations, portfolio theory.