Question

Объясните тему квадратные корни,мы давно не повторяли,а мне скоро сдавать экзамены в мае,пожалуйста ,объясните подробней,если сможете

Answer 1

Квадратные корни решатся очень просто. по трем формулам: решение через дискриминант, с помощью теоремы Виета и по формуле четного коэффициента. 
Чтоб решить квадратное уравнение($x^{2}$) надо найти Х1 и Х2.
Формулу дискриминанта  мы можем применить в любых случаях, но например если кооэффициент a=$x^{2}$ то есть одному, проще применить теорему Виета, а если коэффициент b= четному числу, например 12 то удобней применить формулу четного коэффициента.Формулы не получается написать, но их можно найти в интернете.

Answer 2

Understanding Square Roots

Square roots are a fundamental concept in mathematics, particularly in algebra and geometry. The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 multiplied by itself equals 9.

Notation and Terminology

In mathematical notation, the square root of a number is denoted by the radical symbol (√). For instance, the square root of 25 is written as √25, which equals 5.

Real and Imaginary Square Roots

It's important to note that not all numbers have real square roots. For example, the square root of -1 does not exist among real numbers, but it does exist among complex numbers and is denoted as "i" (the imaginary unit). The square root of -1 is written as √(-1) = i.

Properties of Square Roots

- Non-Negative Result: The square root of a non-negative real number is always a non-negative real number. - Multiplication Property: For any non-negative real numbers a and b, √(ab) = √a * √b. - Division Property: For any non-negative real numbers a and b, √(a/b) = √a / √b.

Application in Geometry and Physics

In geometry, the concept of square roots is used to calculate the length of the sides of a square when the area is given, and vice versa. In physics, square roots are used in various formulas, such as in the calculation of velocity, acceleration, and energy.

I hope this explanation helps you understand the concept of square roots better! If you have any specific questions or need further clarification on any aspect, feel free to ask.