1.？ Symbol:
The calculation of square root will produce two possible results, one is positive and the other is negative. This is why there is a symbol in the square root formula, indicating two possibilities. If x is a non-negative real number, then its square root is recorded as √x, which means there are two solutions: one is a positive square root √x, and the other is a negative square root-√ x.
2.？ Calculation:
The square root can be calculated by taking the square root of a non-negative real number, such as √x, or using the square root function in the calculator. If the square root needs to be calculated manually, an approximate method, such as Newton iteration method, is usually used.
3.？ For example:
Use the square root formula: √ 9 = √ (9) = 3. This means that the square root of 9 can be plus 3 or minus 3.
Use a calculator: Most calculators have a square root function. Enter 9 and press the square root key, and the calculator will give the result 3, which is the positive square root of 9.
Application of square root
1. Geometry:
Calculate side length: square root can be used to calculate the side length of a graph, such as the side length of a square or rectangle.
Calculation of hypotenuse: In a right triangle, according to Pythagorean theorem, the square root is used to calculate the length of hypotenuse.
Calculate radius: given area or perimeter, the radius of a circle can be calculated, which involves the operation of square root.
2. Physics:
Velocity and acceleration: In the motion analysis of an object, the square root is used to calculate the velocity, acceleration and other related parameters.
Fluctuation and oscillation: In the analysis of fluctuation and oscillation, the square root is used to calculate frequency, period, etc.
3. Engineering:
Architectural design: the square root is used to calculate the size, side length and hypotenuse length of the building structure.
Circuit analysis: In circuit analysis, square root is used to calculate voltage, current and other related parameters.