"principal root" meaning in All languages combined

{
  "forms": [
    {
      "form": "principal roots",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "principal root (plural principal roots)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Mandarin terms with redundant transliterations",
          "parents": [
            "Terms with redundant transliterations",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Latvian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Mandarin translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The square roots of 4 are 2 and −2; the principal square root of 4 is 2."
        },
        {
          "text": "The 3rd roots of −8 are 1 + i√3, −2 and 1 − i√3; the principal 3rd root of −8 is 1 + i√3 and the real root is −2."
        },
        {
          "text": "The 4th roots of 16 are 2, −2, 2i and −2i; the principal 4th root of 16 is 2."
        }
      ],
      "glosses": [
        "A complex number which, when raised to the power of n, yields the radicand of its nth degree radical, and which has the greatest real part among all such numbers, and positive imaginary part in case of equality of the real parts."
      ],
      "id": "en-principal_root-en-noun-9fwbrHWU",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "number",
          "number"
        ],
        [
          "power",
          "power"
        ],
        [
          "radicand",
          "radicand"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A complex number which, when raised to the power of n, yields the radicand of its nth degree radical, and which has the greatest real part among all such numbers, and positive imaginary part in case of equality of the real parts."
      ],
      "related": [
        {
          "word": "principal square root"
        },
        {
          "word": "absolute value"
        },
        {
          "word": "root"
        },
        {
          "word": "√"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "zhǔgēn",
          "sense": "number",
          "word": "主根"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "number",
          "word": "juuren pääarvo"
        },
        {
          "code": "lv",
          "lang": "Latvian",
          "sense": "number",
          "tags": [
            "feminine"
          ],
          "word": "aritmētiskā sakne"
        }
      ]
    }
  ],
  "word": "principal root"
}

{
  "forms": [
    {
      "form": "principal roots",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "principal root (plural principal roots)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "principal square root"
    },
    {
      "word": "absolute value"
    },
    {
      "word": "root"
    },
    {
      "word": "√"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Entries with translation boxes",
        "Mandarin terms with redundant transliterations",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Finnish translations",
        "Terms with Latvian translations",
        "Terms with Mandarin translations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The square roots of 4 are 2 and −2; the principal square root of 4 is 2."
        },
        {
          "text": "The 3rd roots of −8 are 1 + i√3, −2 and 1 − i√3; the principal 3rd root of −8 is 1 + i√3 and the real root is −2."
        },
        {
          "text": "The 4th roots of 16 are 2, −2, 2i and −2i; the principal 4th root of 16 is 2."
        }
      ],
      "glosses": [
        "A complex number which, when raised to the power of n, yields the radicand of its nth degree radical, and which has the greatest real part among all such numbers, and positive imaginary part in case of equality of the real parts."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "number",
          "number"
        ],
        [
          "power",
          "power"
        ],
        [
          "radicand",
          "radicand"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A complex number which, when raised to the power of n, yields the radicand of its nth degree radical, and which has the greatest real part among all such numbers, and positive imaginary part in case of equality of the real parts."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "zhǔgēn",
      "sense": "number",
      "word": "主根"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "number",
      "word": "juuren pääarvo"
    },
    {
      "code": "lv",
      "lang": "Latvian",
      "sense": "number",
      "tags": [
        "feminine"
      ],
      "word": "aritmētiskā sakne"
    }
  ],
  "word": "principal root"
}