1. Solving equations: The square root can be used to solve quadratic equations in one variable. For example, if we solve the equation X 2-4 = 0, we can use the property of square root to get X = √ 4, that is, x=2 or x=-2.
2. Calculate the square: the square root can be used to calculate the square of a number. For example, if you find the value of √9, you can directly know that √9=3, because the square of 3 is equal to 9.
3. Square root operation: Square root can be used for square root operation. For example, to find the value of √ 16, we can directly know √ 16=4, because the square of 4 is equal to 16.
4. Compare sizes: The square root can be used to compare the sizes of two numbers. For example, by comparing the sizes of √9 and √ 16, we can calculate their values first, and then compare the sizes to get √9.
5. Graphics and geometry: Square roots are also used for graphics and geometry. For example, to find the hypotenuse length of a right triangle, we can use Pythagorean theorem and the properties of square root to solve it.
In a word, square root is widely used in junior high school mathematics. It can not only help solve equations and calculation problems, but also be used to compare sizes and solve geometric problems. Mastering the concept and nature of square root is very important for junior high school mathematics learning.