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   "source": [
    "# 05-13 · Корни и расстояния\n",
    "\n",
    "Практика к разделу [«Корни и расстояния»](../../site/chapters/glava-05/05-13-korni-rasstoyaniya.html)."
   ]
  },
  {
   "cell_type": "markdown",
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   "metadata": {},
   "source": [
    "## Цель\n",
    "\n",
    "Освоить math.isqrt(), math.hypot() и math.dist() на геометрических задачах."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e03ae28d",
   "metadata": {},
   "source": [
    "## Рабочий пример"
   ]
  },
  {
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    "execution": {
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5.0\n"
     ]
    }
   ],
   "source": [
    "import math\n",
    "print(math.hypot(3, 4))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "45ba5836",
   "metadata": {},
   "source": [
    "## Эксперимент 1\n",
    "\n",
    "Сравните isqrt() с обычным sqrt()."
   ]
  },
  {
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   "execution_count": 2,
   "id": "ea8357d5",
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    "execution": {
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.1622776601683795\n",
      "3\n"
     ]
    }
   ],
   "source": [
    "import math\n",
    "print(math.sqrt(10))\n",
    "print(math.isqrt(10))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2a867d62",
   "metadata": {},
   "source": [
    "## Задание ★ Базовая практика\n",
    "\n",
    "Найдите расстояние между точками (0, 0) и (6, 8) через math.dist() и выведите результат."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "1cb07593",
   "metadata": {
    "execution": {
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     "shell.execute_reply": "2026-08-16T12:02:53.621412Z"
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   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10.0\n"
     ]
    }
   ],
   "source": [
    "import math\n",
    "A = (0, 0)\n",
    "B = (6, 8)\n",
    "print(math.dist(A, B))"
   ]
  }
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