# Simplify Radical Expressions Calculator

> Extract perfect powers from a nonnegative integer radical.

Page: https://askcalculators.com/calculator/simplify-radical-expressions-calculator/
Definition: https://askcalculators.com/calculator/simplify-radical-expressions-calculator/definition.json
JSON Schema: https://askcalculators.com/calculator/simplify-radical-expressions-calculator/schema.json
Version: 1.0.0
Maintained by: AskCalculators (software project; not a credentialed reviewer)
Qualified review: pending. Automated checks do not establish professional approval.
Page status: Live
Review status: Pending

## Use
Open the calculator page and enter values. Query-string parameters can restore and bookmark a calculation.
Example: https://askcalculators.com/calculator/simplify-radical-expressions-calculator/?radicand=72&index=2

## Inputs
- radicand: Radicand n; type=number; required; default=72; min=0; max=1000000000
- index: Root index; type=number; required; default=2; min=2; max=10

## Outputs
- simplified: Simplified radical; format=text; primary
- outsideFactor: Outside factor; format=integer
- insideFactor: Remaining radicand; format=integer
- decimalValue: Decimal value; format=number

## Formula
ⁿ√N = a·ⁿ√b after extracting every perfect nth-power factor aⁿ

## Rules
- Empty optional inputs are undefined, not zero.
- Hidden conditional inputs are ignored.
- Do not invent missing required inputs.