Correctly understand the meaning of "three roots";

Square root:

If the square of a number X is equal to a(a≥0), then X is called the square root of A, that is, if X2 = A, then X is called the square root of A. Note that X = .22 = 4 and (-2) 2 = 4, then both 2 and -2 are called the square root of 4, that is, the square root of 4 is +2. Especially the square root of 0 is 0.

Arithmetic square root:

If the square of a positive number x is equal to a, that is, x2 = A, then this positive number x is called the arithmetic square root of a, and X =. If 22 = 4, then 2 is called the arithmetic square root of 4, that is, the arithmetic square root of 4 is 2. Specifically, the arithmetic square root of 0 is 0.3.

Cubic root:

If the cube of a number x is equal to a, that is, x3 = A, then this number x is called the cube root of a, and X =. For example, 23 = 8 and (-2) 3 =-8, then 2 is called the cube root of 8, that is, 2 is called the cube root of -8, that is, the cube root of -8 is -2. In particular,

New operations derived from "three elements";

The operation of finding the square root of a number is called square root. Square root is an operation method, just like addition, subtraction, multiplication and division of power. Square root is the result of square root, and square sum square root is reciprocal operation.

Radical algorithm:

Multiplication: the square root of two numbers is equal to the product of two numbers under the root sign, and then simplified; Division: the square root division of two numbers is equal to the quotient of two numbers under the root sign, and then simplified; Addition or subtraction: there is no other way but to find out the specific numerical value with a calculator and then add and subtract;

The denominator is a formula with a root sign. Physicochemical the denominator so that it has no root number, transfer the root number to the same root number, and multiply (divide) the coefficient before the root number into the coefficient of product (quotient); Multiply (divide) the root number into the root number and then replace it with the simplest root. The multiplication (division) of nonhomogeneous roots should be converted into homogeneous roots first, and then multiplied (divided) by homogeneous roots.