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Problem solving: (Issuer: The operation of finding the cube root of a number is called Issuer. )
1、? The product of three identical numbers is equal to this number, so the cube root of this number is these three identical numbers.
2. Open the cube root to 8? 2 * 2 * 2 = 8, and the cube root of 8 = 2;
Cube introduction:
If the cube of a number is equal to A, then this number is called the cube root of A, also called the cube root.
Cube properties:
(1) In the range of real numbers, any real number has only one cubic root.
(2) In the range of real numbers, negative numbers cannot be squared, but they can be squared.
(3) The cube root of 0 is 0.
(4) Cube and publication are reciprocal operations.
(5) In the range of complex numbers, any number other than 0 has only three cube roots (yoke real root and two imaginary roots), which are evenly distributed on the circumference with the origin as the center and the arithmetic root as the radius, and the points corresponding to the three cube roots form a regular triangle.
Extended data
Issuer introduction
The operation method of finding the cube root of a number is called square root. It is the inverse operation of a cube, which was first recorded in the Nine Chapters of Arithmetic in China. Because any real number has a unique cube corresponding to it, and no two real numbers have equal cubes, any real number exists and has only one unique cube root.
Method one
1. Divide the integer part of the square root into a group every three digits from the unit to the left;
2. According to the leftmost group, find the highest digit of the cube root;
3. Subtract the cube with the highest digit of the cube root from the first group number and write the second group number on its right;
4. Try to divide the remainder by 300 times the square of the highest digit to get the quotient; Multiply 300 by the product of the square of the highest bit and the quotient, and write 30 times the product of the square of the highest bit and the cube of the quotient on the vertical left. Observe whether the sum is greater than the remainder. If so, reduce the quotient and try again. If not, the quotient is the second bit of the cube root.
5. Proceed in the same way.