1 and positive number A have two square roots, which are reciprocal, namely √a and -√a ... where √ a represents the arithmetic square root of A, that is, the positive square root. The square root of zero is zero, that is √0=0. Negative numbers have no square root, that is, for any negative number a, there is no √ a.
2. Addition rule: For any real number A and B, there is √ (a+b) = √ a+√ b, which only applies to the addition of two positive numbers. Subtraction rule: For any real number A and B, there is √ (A-B) = √ A-√ B, which only applies to the subtraction of two positive numbers. Multiplication rule: For any real number A and B, there is √ (AB) = √ A× √ B, which only applies to the multiplication of two positive numbers.
3. Division rule: For any real numbers A and b(b≠0), there is √ (a/b) = √ A/√ B. But this is only applicable to the division of positive numbers A and B. When performing the root number operation, it is necessary to ensure that each item is non-negative. If the formula contains a denominator, then the denominator cannot contain a root sign. When performing root symbol operations, please pay attention to symbols and operation order.
The meaning of root symbol
1, the root sign operation, also known as square root or square root operation, is an important operation method in mathematics. For any real number A, its square root is recorded as √a, which is read as "root number A". Because the result of square root operation is non-negative, you can use root sign operation to determine the non-negative square root of real numbers.
We can get the square root of a number by square root operation. Solving practical problems: radical operation is widely used in solving practical problems. For example, when calculating some geometric quantities, physical quantities and engineering quantities. , you need to use the root sign operation to calculate their square roots, cube roots, etc.
3. Basic mathematical operations. Radical operation is one of the basic operations in mathematics. It is the basis of other operations in mathematics, such as addition, subtraction, multiplication and division. If you master the rules and precautions of radical operation, you can learn and apply other mathematical operations better.