{
  "id": "simplify-radical-expressions-calculator",
  "version": "1.0.0",
  "name": "Simplify Radical Expressions Calculator",
  "shortName": "Simplify Radical Expressions",
  "description": "Extract perfect powers from a nonnegative integer radical.",
  "category": "Math & Statistics",
  "categorySlug": "math-statistics",
  "keywords": [
    "simplify",
    "radical",
    "expressions",
    "calculator",
    "simplify radical expressions calculator"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "new",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/simplify-radical-expressions-calculator.json",
    "qualifiedReview": "pending",
    "qualifiedReviewer": null,
    "qualifiedReviewDate": null,
    "formulaVersion": "1.0.0",
    "referenceCoverage": "references-pending",
    "releaseTestScope": "Catalog and regression checks are not a professional formula audit; consult release evidence.",
    "historicalMetadataDate": "2026-09-01",
    "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
  },
  "urls": {
    "page": "/calculator/simplify-radical-expressions-calculator/",
    "definition": "/calculator/simplify-radical-expressions-calculator/definition.json",
    "schema": "/calculator/simplify-radical-expressions-calculator/schema.json",
    "llms": "/calculator/simplify-radical-expressions-calculator/llms.txt",
    "legacyDefinition": "/calculator/simplify-radical-expressions-calculator.json"
  },
  "queryExample": "https://askcalculators.com/calculator/simplify-radical-expressions-calculator/?radicand=72&index=2",
  "queryParameters": {
    "radicand": {
      "label": "Radicand n",
      "type": "number",
      "required": true,
      "default": 72
    },
    "index": {
      "label": "Root index",
      "type": "number",
      "required": true,
      "default": 2
    }
  },
  "inputs": [
    {
      "id": "radicand",
      "label": "Radicand n",
      "type": "number",
      "required": true,
      "defaultValue": 72,
      "min": 0,
      "max": 1000000000,
      "step": 1
    },
    {
      "id": "index",
      "label": "Root index",
      "type": "number",
      "required": true,
      "defaultValue": 2,
      "min": 2,
      "max": 10,
      "step": 1
    }
  ],
  "outputs": [
    {
      "id": "simplified",
      "label": "Simplified radical",
      "format": "text",
      "primary": true
    },
    {
      "id": "outsideFactor",
      "label": "Outside factor",
      "format": "integer"
    },
    {
      "id": "insideFactor",
      "label": "Remaining radicand",
      "format": "integer"
    },
    {
      "id": "decimalValue",
      "label": "Decimal value",
      "format": "number",
      "digits": 10
    }
  ],
  "formula": {
    "expression": "ⁿ√N = a·ⁿ√b after extracting every perfect nth-power factor aⁿ"
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "radicand": 72,
        "index": 2
      }
    }
  ],
  "sources": []
}