The square root symbol (√) is also known as the radical, according to Khan Academy. It is used to denote the square root of a number. For example, √9 = 3. This means that the square root of 9 is equal to 3. When a number is squared, it stays positive. For instance, 3^2 = (√9)^2 = (-3)^2, which equals 3^2, and therefore, will still be positive.
NEGATIVE SQUARE ROOT
The concept of negative square root arises when we consider the square root of a number that could also be negative. For example, if we write √₁ = x, it equals 3 because the square root symbol (√) denotes a positive square root. However, if we write x² = 9, it could be 3 or -3 because -3² is still 9. The symbol used to represent this is (±) which means the result could be either positive or negative.
FINDING THE SQUARE ROOT
Finding the square root of a number is similar to finding the side length of a square with an area of that number. The square root is also referred to as the principal square root.
PERFECT SQUARE
When finding the square root of a perfect square, we get an integer. For example, √49 equals 7. When the number is not a perfect square, the square root will result in an irrational number, which repeats on and on forever. These are numbers that don't have a perfect square root.
HOW TO FIND SQUARE ROOT
To find the square root, the square root symbol calculator or square root calculator with steps can be used. Another method is by using the division method. For example, to find the square root of 2 or 5, it can be done without a calculator. The formula for finding a perfect square root can also be used, such as y² = 3. It is important to understand the concept of taking the square root and how to find the square root easily without using a calculator.
In conclusion, understanding the square root symbol in math is essential for solving various mathematical problems. Whether it is finding the square root of a number, understanding the perfect square root formula, or learning how to find the square root without a calculator, the knowledge of the square root symbol and its application is crucial in mathematics.
