If the rule already given for the cube root be thought too tedious, the following one will be found much more ready for use.RULE II. TO EXTRACT THE CUBE ROOT.1. By trials take the nearest rational cube to the given cube or number, and call it the assumed cube.2. Then the sum of the given number and double the assumed cube will be to the sum of the assumed cube and double the given number, as the root of the assumed cube, is to the root required, nearly. Or as the first sum is to the difference of the given and assumed cube, so is the assumed root, to the difference of the roots nearly.3. Again, by using, in like manner, the cube of the root last found as a new assumed cube, ano∣ther root will be obtained still nearer. And so on as far as we please; using always the cube of the last-found root, for the assumed cube.0