IM 8.8.13 Lesson: Cube Roots
Choose all the true statements.
What two whole numbers does each cube root lie between? Explain your reasoning.
[math]\sqrt[3]{5}[/math]
[math]\sqrt[3]{23}[/math]
[math]\sqrt[3]{81}[/math]
[math]\sqrt[3]{999}[/math]
The numbers x, y, and z are positive. Plot x, y, and z on the number line. Be prepared to share your reasoning with the class.
Diego knows that [math]8^2=64[/math] and that [math]4^3=64[/math]. He says that this means the following are all true:[br][list][*][math]\sqrt{64}=8[/math][/*][*][math]\sqrt[3]{64}=4[/math][/*][*][math]\sqrt{-64}=-8[/math][/*][*][math]\sqrt[3]{-64}=-4[/math][br][br][/*][/list]Is he correct? Explain how you know.
IM 8.8.13 Practice: Cube Roots
Find the positive solution to each equation. If the solution is irrational, write the solution using square root or cube root notation.
[math]t^3=216[/math]
[math]a^2=15[/math]
[math]m^3=8[/math]
[math]c^3=343[/math]
[math]f^3=181[/math]
For each cube root, find the two whole numbers that it lies between.
[math]\sqrt[3]{11}[/math]
[math]\sqrt[3]{80}[/math]
[math]\sqrt[3]{120}[/math]
[math]\sqrt[3]{250}[/math]
Order the following values from least to greatest:
Select [b]all [/b]the equations that have a solution of [math]\frac{2}{7}[/math]
[size=150]The equation [math]x^2=25[/math] has [i]two[/i] solutions. This is because both [math]5\cdot5=25[/math], and also [math]\text{-}5\cdot\text{-}5=25[/math]. So, 5 is a solution, and also -5 is a solution. But! The equation [math]x^3=125[/math] only has one solution, which is 5. This is because [math]5\cdot5\cdot5=125[/math] , and there are no other numbers you can cube to make 125. (Think about why -5 is not a solution!)[/size][br][br]Find all the solutions to each equation:[br][math]x^3=8[/math]
[math]\sqrt[3]{x}=3[/math]
[math]x^2=49[/math]
[math]x^3=\frac{64}{125}[/math]
Find the value of each variable, to the nearest tenth.
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VJToEAB9QhchXDwUfxG5EFQPFNz+PDhHj17OHr0qPQt2L8nf393vWl5t3G70qVLU8GCBdUjcJVbRkjyl+T9FK5duybHfLrn5+dHefLkUR/xP/zLe/78+bT1DwsVKkTFihXT/a+MVUZIZhQYGCin+Hv27JE3j7vx6xgWFkbbtm2Tx82aNXPb8nXcl8FbA9pxZyQ3o/h3h5/j38GrV6/KczwxjXcIy+z3EO6m+5lDcnIydevWjerWrStj/WvUqCGnt61atZLOI0f8uH379tIW5Y/lG39enz596NatW+qjwBXPPPOMtPs91bSYP39+WjDw1Ym5c+fKsTs4njWwRx99VH5v3nvvPWnK8O9TlSpVqHLlyrLWZq1atWRBXmwhmEV85qAH2xmAtnr1au2RRx7ROnfurK1du1azvVDahQsXNNvpLf+51ooWLaqtW7dOPj4xMVGzhYb2z3/+U9u7d698vi3ttV69esnH2v4KyGO9WGmcg6PFixfLv7tLly6q4j78eoWEhMj349vLL78sr6u7jBw5Mu178Y1/73hsh2Mts5vtj5Jm++OkvhI4o9u7hd/sJUqU0GJiYlQlPduZg7wo1atX12zNCK1ChQrakCFD1LN3wuW1115L9wL++uuv6lnXWTUcLl68qNna+zJQiOdduNOwYcPSXjv+fseOHVPPuEfbtm3Tvl9ObvzH6siRI+qrQUa6vFv4l6BSpUraf/7zH1W526xZs9JeFH6j2k735KzCbsOGDeleOL7FxcWpZ11n1XBg7777rvzbJ02apCr6++uvv7SgoKC0127AgAHqGfdITU3VHn/88bTv53jjSWf8h2fOnDnaggULtJkzZ2qDBg3SbE2Luz62QYMG2vXr19VXBUe6vFu4KdCkSRPt6tWrqnK3FStWaLly5ZIXJHfu3JqtLaqeuSM2Njbdi1a6dGnt9OnT6lnXWTkcDh06pBUsWFDO3txlxowZaa9dvnz5tPj4ePWMe3ATxjGM+FamTBltypQp2s2bN9VHpceBwn/AHnzwwXSf179/f2kCQ3ouv1sOHjyo5c+fXzt+/LiqODd9+vR0L+LJkyfVM3dwsISFhcnznPBnzpxRz+jDyuHAbyTuC+Jmnzvw/A0+Rbe/vtx0dGdfA+OzTm4u2b8nh9/OnTvVs/e2efPmtM/j20MPPeT2JpcZuXy14tVXX6Wnn35a9k24l7Vr16ojko/lASuO+Pq0rWlBtrMFSkhI8MhlN6vgy8ORkZGy4e7nn3+uqvpZuHChzAJlfBkxJibGLQOeHBUvXlzmVfAgL56VyZdLQ0JC1LP3xlcyhg4dqh6RTG3/9ddf1SOwcykcbH8d5Dryc889pyqZW7dunToiatq0qYx9yIh/oXgFZZ4TAPrq27evXOvnFZ145SQ9Oc7fsJ01yB4ansB/QDgQOPh4DYvssK+3aWdrFqkjsHPpXchvYr5m/MILL6iKc7YmhJwN2LmypBfkTHBwMDVp0kTGluzevVtVXcfjChwXW+FBT2ZQvnz5dOEQFxenjsDO5T/RfMp6vxFna9as4ca+HNvavXLmAJ7HoXzz5k1d3wi8FqTjYrZ6L+TiLvx76Ph7a58gBv/jkfN3nqprV79+fQxf9ZKIiAi5nzJlijQJXcVnDY4LxXI/gFnWU8jYJ4Km7N088j/i2KTgU1vwDh5OzG10fj14nomruCOPm4x2nTp1Ms2b7MqVK+kCsmLFiuoI7Nz+SnJzIjExUT0iGd8O3sFnbEOGDJHjqVOnpjX1coqD4cKFC3LMoeDJviTuWO3cubNceeCmLV+JyQ7ue+Emlh3PuYD03B4OO3bsoDNnzqhHdN8FPzjN7TM0QX88EYvXeuBLd45vjpzgS4j2r8GzI3mCk6csX76cpk+fTlu2bJHZv9u3b1fPZA1PROPZqoybGB07dpRj+B+3h8OXX36pju70EFeoUEE9ci46OpoGDhyoHoHe8ufPT3Xq1JGt+l29auG46nPRokU9OjalQ4cO6ugOPhPKKr78PmjQoLQzJw5L/j+B9HQJB+6Ycoavp0+bNk09Ipmefa82Kf8Vmj17tst/0SBz/P/P2/Xza/bBBx/kuGnBbfb169erRyTjU/ReH/JeXnrpJZkSbse/ZxwQ9+to5bMF3nDYsanLZ1OOXwsU2y9Hjh09elSrWbOmDEH9xz/+IWPXHW3btk2es994fsW98FwKHorNU7j1ZuXh0xk5Dne+37D3zNhO59O9tn369FHPuIZ/h+y3e813sIWALHPv+DPYgk8bPHiwfC4/74i/Fg/15wl/jp9jO5vFvIpM5Pjdwm9kf3//tP/k4sWLa0lJSerZO7744ou05/mFu9f4dZ5bYTu1k7Uf3AHhkF7v3r3l/4NnLuaE4yxbvvGEJ1fxm9rxa37++efqGed4/s2jjz6a7nP4xr+XERERmq3podnOkrQ2bdrI71ahQoXu+lhedwScy/G7xXEiFd9sp5Qy+8+OJ8YEBwdrTZs2lec5HHgDksyMGzdOXlR3rQGAcEhv5cqV8pq88MILqpI90dHR6V5/PabXZzccGJ9l8kQvx8/Lys3WDJLFiSBzOe5z4I4tR+3atUvrbOR2X79+/aQNavsllDrXFixYIM9nNGHCBGn/8sSrgIAAVQV34g44Hj68aNGiHG3Xz5OeHNWrV08deVa1atUoPj5eLmtmFf+sfJXDPigMMqFCIttSUlK0hg0bSgpzU8DebuOmBbc/eSflXbt2SY1PXfmUzs/PT1u4cGFae5Dbrd27d9cqV6583/4IV+HM4W7dunWT/xM+C8guPh3/7LPP0m4Z2/g5wb9Djl9z+/bt6pn74+/PU7FHjBihRUZGahUrVpR1JfhWrFgxrX79+rIAzfLly++57gj8j0vvFu5D4AVEuDnAzYqSJUvKMS/flbEJwWtH1q1bVxZx4c6wUqVKSWcQr+Wn99oNziAc7nb48GF58/A6GtxJCeDI5aXpubnAo9P40hZfguRl5XmtBmfz+fnSJi9Dzx/L04d54IynLiFZdWn6++EVmw8dOiSX9sqUKaOqADqMc+Dr5hwGPMCpUqVKMhAms4U+eGOTBx98UD6OPx7Xlr2PN9zlcOcl5QEcuX2EJBgbjzTkMP/www8x+AzSQThYHG8ixJOXDh8+fNcmMWBtCAeL42YhrwPKZw88mQnADuEA1KhRI+kcXrZsmaoAIBzAJigoSPaU5MFE3tiuH4wJ4QByWZm367916xaNGTMGl3tBIBxA8BRoviTNi8/yWBQAhAMI7pBs2bKlbCqUlJSkqmBlCAdIw+GQmppKkyZNUhWwMpeHT5sFhk/fX0pKioxw5f+j5ORkj67sBMaDMwdIw/NievfuLWcPPJUbrA3hAOn06dNH1ur48ccfVQWsCuEA6QQGBsqCO7GxsaoCVoVwgHR4S7u///3vstcIdp62NoQD3OWNN96QORfDhg3DTE0LQzjAXXgoNc+34HUi9+3bp6pgNQgHcKp169ayzdwvv/yiKmA1CAdwirfS5/EOjtsZgrUgHMAp3vC4evXqtHPnTtq6dauqgpUgHMAp3q6fOyTZzJkz5R6sBeEAmYqMjJTh1BjzYE0IB8gUD6euXbu2LACDmZrWg3CATHHTomPHjjLW4b333lNVsArMyoR7unHjBpUrV05mbPK4h7Jly6pnwNfhzAHuiSdh8d4WPFOTNzoG60A4wH21adNG7pcuXSr3YA0IB7ivsLAw6X/47rvvcrRdP5gTwgHui/c05Zma3O+AmZrWgXCALBk3bpycPfCAKF7CHnwfwgGypGrVqhQcHCzDqdG0sAaEA2QJL13ftGlTOnfuHLbNswiEA2RZp06d5H7QoEF0+/ZtOQbfhXCALAsPD6eQkBDZrp/31QTfhnCALOMOyR49esjxqlWr5B58F8IBsiUiIoIKFChACxYsUBXwVQgHyJZq1aqRv78/bd68mRISElQVfBHCAbKFzxoGDBggHZKffPKJqoIvQjhAtvGWeby/BW/Xz6MmwTchHCDbeKZms2bN6MiRI3Tw4EFVBV+DcIAc4e36ea2Hr7/+WlXA1yAcIEfatWtH+fLlo6lTp9KFCxdUFXwJwgFyhFeE4iXkrl69Sj/99JOqgi9BOECO9e3bVwZGLV++XFXAlyAcIMcefvhhKlOmDK1YsQJzLXwQwgFyrFSpUtSkSRM6ceIEff/996oKvgLhADnG07jffvttOR4zZgzOHnwMwgFcUq9ePapbt65senP06FFVBV+AcACXtWrVSi5nbty4UVXAFyAcwGU8IIo3C4qOjlYV8AUIB3BZ/fr15coF7yjG+2qCb0A4gMvy5s0rS8fx2QPWefAdCAfQBe9rUaJECRnzAL4B4QC6KF26NNWoUYO2bNlCp0+fVlUwM4QD6MK+4S7PtRg/fryqgplhC37QzaVLlyggIED6IA4cOEAPPPCAegbMCGcOoJuiRYtS69atZczDjh07VBXMCuEAunr66adlL82VK1eqCpgVwgF0xVvm5c6dm2JiYujKlSuqCmaEcABdlStXjp599lmZqYlFYMwN4QC6Gz16tJw9TJ8+HR3AJoZwAN0FBgbKdv288c3NmzdVFcwG4QC6441vwsLCZAo39tQ0L4QDuEWvXr3kftiwYWhamBTCAdyCt+vnfTV5jYe9e/eqKpgJwgHcglel7tq1qxzzyFQwH4QDuM1TTz0lIYHFZ80J4QBuU7NmTVmhmkdLYk9N80E4gNsUKVJEFoHhy5nffvutqoJZIBzArXi7fj8/P1kh6tq1a6oKZoBwALcqXLiwjHn4448/6NSpU6oKZoBwALeLioqSRWCwXb+5IBzA7Z5//nlZAGbixIn0559/qioYHcIB3K58+fLUpk0bOn/+PMY8mAjCATyiZ8+eMlNz6dKlqgJGh3AAj6hVqxYVL15cwoFXigLjQziAR/j7+0tA8EzNhQsXqioYGcIBPGbo0KFy/9lnn2G7fhNAOIDHPPnkk7Kn5p49ezDmwQQQDuBRvG0eX86Mj49XFTAqhAN4FC9dz4u/jB07VlXAqBAO4FERERFUsWJFWrNmDSUmJqoqGBHCATwqX7589NZbb8nx4sWL5R6MCeEAHsf9DjzmAdv1GxvCATyOxzxw02L9+vWYa2FgCAfwuIIFC8quWDxTMzo6WlXBaBAO4BWvvfYaFSpUSPbU5K37wXgQDuAVpUuXphYtWtDZs2dlIRgwHoQDeA1P475+/TquWhgUwgG8hpeut2/Xj/UljQfhAF5ToUIFat++vczUjIuLU1UwCoQDeNXgwYNl45tZs2apChgFwgG8qlKlShQUFCRjHsBYEA7gVbzxDS8Cs3//ftq1a5eqghEgHMCrcuXKJWMeWN++fbFdv4EgHMDreKYmLwLDK1MfPnxYVcHbEA7gdXw5s0OHDrLw7KZNm1QVvA3hAIbAMzXZ7Nmz5R68D+EAhlCvXj2Zxs2jJU+ePKmq4E0IBzAEnoTFYx54u/6pU6eqKngTwgEMg3fF4rOHRYsWUWpqqqqCtyAcwDD8/PwoNDSU9u7dSxcvXlRV8BaEAxgGj3lo1aqVBMOXX36pquAtCAcwFL6kyYvQfvrpp3T58mVVBW9AOIChVK5cWaZy83b9GzZsUFXwBoQDGE737t2libFy5UpVAW9AOIDh8JgHXoR27ty52HDXixAOYDjctOCrFklJSbRq1SpVBU9DOIAhjRo1Su7Hjx8vcy7A8xAOYEi8XT+fQezYsUM6J8HzEA5gWE888QSdOHGC9uzZoyrgSQgHMCxeup4XfxkxYoSqgCchHMCwWrZsSSVKlJBLmtj4xvMQDmBYBQoUoN69e8vxkiVL5B48B+EAhtaxY0cZ87B8+XJVAU9BOICh8dL1ZcuWpY0bN2KuhYchHMDQihUrRs8//7zsxP3JJ5+oKnhCLs0ia4E3bNhQVjeOjY1VFWPhjre6deuqR+DoyJEjVLVqVfL396edO3fKXhfgfpYLB6PiX/7ExET1CDJq3ry5vH68OnVISIiqgjtZLhz69++vKsbAW9BPmzaNAgICEA73wOs7vPHGG/Thhx/SoEGDVBXcyXLhYLR/Lney8SxE/rkQDpnjrfJ4Mhbvq8n/T7wgDLgXOiTBFLgp0bhxYzp48CCtWbNGVcGdEA5gGtyc4N2x5s+fryrgTggHMI369evLmIeff/5ZVcCdEA5gGiVLlqRq1arJPIt9+/apKrgLwgFMI0+ePLJdPy8dN3DgQGzX72YIBzCV9u3bU7ly5WT5uOPHj6squAPCAUynXbt2dO3aNSwC42YIBzAdXueBmxZTpkxRFXAHhAOYDg9o4125582bh/Ul3QjhAKbDk9ReffVVWZU6JiZGVUFvCAcwJZ5nUbhwYVkEBlct3APhAKZUunRpql69OsXHx2NfCzdBOIAp8cQr7pj8888/afLkyaoKekI4gGl17dqV8ufPT0OHDqUbN26oKugF4QCm9fDDD8tMzeTkZGlegL4QDmBqXbp0kfu4uDi5B/0gHMDUeMwDT+OePn06rlroDOEAplalShV69NFHaffu3bRhwwZVBT0gHMDU+KzBvpfml19+ibMHHSEcwPSioqIoMDBQNr65cuWKqoKrEA7gE7jvgdeXTEhIUBVwFcIBfAJv188jJUeNGqUq4CqEA/gEXgSG51osWLCAjh07pqrgCoQD+AQeTt23b185xgK0+kA4gM949tlnJSQWLVqkKuAKhAP4jEceeYSKFy9Oy5Ytw1wLHSAcwGf4+fnJdv1Xr16ljz/+WFUhpxAO4FOGDBkiTYuZM2fKJsWQcwgH8Cn+/v6yM9bhw4fp5MmTqgo5gXAAn9OiRQtKSUmhJUuWqArkBMIBfE7btm0pV65cNGbMGEpNTVVVyC6EA/ic0NBQCg8Plx2x1q1bp6qQXQgH8Dk8U/Nf//qX3PPq1JAzCAfwSY0aNZJLmwiHnEM4gE/iqxbBwcEyS3P79u2qCtmRS7PI6hg8pfe3334z3DLmPJKPFyvhl+GDDz5QVdADX61YvHixbLw7d+5c2cIfss5y4QDWw82LnTt3Uvny5VUFssIy4cAz9XgDFLAW3qqf99aMjIyUkZOQdZYJBwDIHnRIAoBTCAcAcArhAABOIRwAwCmEAwA4hXAAAKcQDgDgFMIBAJxCOACAUwgHAHAK4QAATiEcAMApTLwyMF4Dce3atbR7925ZZp13kS5QoIDs7MRT0OvWrYs1CsB9OBzAOG7fvq1t2LBB69Chg5Y3b14O7kxvoaGh2rx587TU1FT12e4xfvx4p98/qzcwJzQrDMT2etDbb79NTZs2pTlz5tDNmzfVM87t2LGDbCEi6yVevnxZVfW3detWdQRWgnAwCG4ycDB8+umn2drGjT9v06ZN9OKLL8rCJu7w+++/qyOwEvQ5GATvDN2qVSv16I6AgAB67rnn5Ozg8ccfl/4F3ubN1pSgiRMnUlJSEtmaIeqjiQYOHEgfffSRbOiiF96UtmjRomnfp1SpUhQUFCTHWYVwMSkOB/C+5s2bp2unR0ZGasnJyerZu128eFHr1atXus8pW7asduHCBfUR+vjll1/SfY+hQ4eqZ8DXoVlhAPv27ZM1Lu1q165NP/zwA5UpU0ZV7lasWDH66quvZMt5O1uY0MKFC9Ujfaxfv14d3VGvXj11BL4O4WAAvGy6Y/OAd2vKymKo3MzgfgpH06ZNU0f6sJ05qCNbG9TWXAkLC1OPwNchHAxg48aN6uiOZ555Rh3dX0hIiDq6Y8OGDerIdbynxunTp9UjoooVK5Kt6aIega9DOBjA/PnzKT4+Xv7q//vf/75ncyKjggULqqM7+A2tF/5aZ86cUY/ubFAL1oFwMABuHtSpU4c6deqU7V2vMo5v4D0a9MKXVLkfw45HZoJ1IBxMjjszHbVs2VIduY53ieJLmXY8XNuON6h999136YUXXpAxFu+88w4tWrSIrly5oj4CTE9dtQCTGj16dNplxty5c2txcXHqGdfxZUv7186VK5dmCwRt8uTJmr+/f1o9440vp44dO1azNUfUVwGzwiAoE7t48aLs/8j3jDsMd+3aJYOW9MDDsn/99Vf1iKh06dKypWBWfmUCAwNl0lilSpVUBcwGzQqTSk1Npa5du6YFA+vYsSMVKVJEPXINNw8yXkU5e/ZsloKBHTt2jJ588kk6evSoqoDZIBxMiCdk8QAobuPbVatWjd5//33dhk4fPHhQ5m1kxJ2SPEQ7ISFBxmZwWPB0ch601bp163QdoocOHaLw8HA6d+6cqoCpcLMCzOXrr7+W/gV++ey32NhY9aw+bG/2dF+fbwMHDtQuXbqkPuJutjDRtm/frtnOXtJ93scff6w+AswE4WAi/OaznTFohQoVSnvj5cuXT/v8889lHQg9/f7775qt2aI1adJECwwM1Lp166bZmhrq2XvbtWuXZjuDSPsZg4KC5GcHc0E4mAQv6DJt2jQJA/ubLk+ePNqbb76pPsI4OKh4sRr7z8m3lStXqmfBLNDnYBIjR46k7t27S0ck476F//u//6NRo0bJYyPhn407Sx2tW7dOHYFZIBwMztbGp9dff52GDx+etjIUryM5ePBgGjRoEOXPn19qRvPYY4+pozu2bNmijsAsEA4GduHCBbkCEB0dnTZrk2drjh49WsLCqMHAMk7QchxpCeaAcDCoAwcOyArTcXFxqkIyuIknafXr109VjMtxCjozcpCBcwgHA+KFX3gew549e1SFqHr16rRy5Up6+umnKXdu979sKSkptH//flqzZs1dC75kBX+uI/75wVwQDgazatUqGVnIb047HhbNw5gbNGigKu7HQ6WDg4OpWbNm0r+RXfzvcNS4cWN1BGaBcDAQHq7MMxwd8azH7du36zoVOysc127gtSay02fAIyt5aX07Pz8/ioyMVI/ALBAOBpGYmEhNmjSRiU12vFzcrFmz5M3labx3hh13jHbp0iXLC8nwdG7HCVsceHpNBgMPUuMdwMuioqLSDRrq27ev23eyupeMq07zjUdi3g8Pu3YcqMW3LVu2qGfBTDBl2wCmT59OnTt3Vo+IChcuLAOe8ubNqyrZ07ZtW+kryIj/mjue7o8dOzbThWz5akPPnj0pJiZGVe6sWMUdovyz8pWUcuXKSf3EiRO0efNm+v7772VPDXsThDtOeZLWm2++KY/BZCQiwGuuXbum1alTJ91fWldvn3zyifrq6U2cODHdx91vrsTly5e1sLCwdJ+TndtLL72EORUmhj4HL+P1GI4cOaIeGQufwXD/QXY7E3n4NJ8tTJkyxSOXXcE98Mp5GS/i+tdff6lHxlOyZEkZeDV+/HiqVauWqjrHocDNmdmzZ8sozowrY4O5oM8BsoV39p45c6ZcduVFXjgQeO9M3suzR48esjwc+AaEAwA4hWYFADiFcAAApxAOAOAUwgEAnEI4AIBTCAcAcArhAABOIRwAwCmEAwA4hXAAAKcQDgDgFMIBAJxCOACAE0T/D9/ecbXXkdbDAAAAAElFTkSuQmCC[/img]
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[/img]
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[/img]
[size=150]A standard city block in Manhattan is a rectangle measuring 80 m by 270 m. A resident wants to get from one corner of a block to the opposite corner of a block that contains a park. She wonders about the difference between cutting across the diagonal through the park compared to going around the park, along the streets. How much shorter would her walk be going through the park? Round your answer to the nearest meter.[/size]