Question
Here is the question : THE SQUARE ROOT OF -1 IS KNOWN BY WHAT ADJECTIVE?
Option
Here is the option for the question :
- Radical
- Polynomial
- Indefinite
- Imaginary
The Answer:
And, the answer for the the question is :
Explanation:
In algebra, an imaginary number is created when an integer is squared and the resulting value is negative. The numbers are denoted by the symbol “i,” also called a “iota,” and are defined as the square root of a negative number. The sign “i” also serves as the representation for the numbers. However, when negative numbers are squared, the result is positive because the effect of each individual negative number cancels out the other negative number. As an illustration, the square of -5 is equal to 25.
In mathematics, numbers can take on different forms and properties, each with its own set of rules and operations. One type of number that is commonly encountered is the imaginary number. Imaginary numbers are numbers that can be written as a real number multiplied by the square root of -1. The square root of -1 is often denoted by the symbol “i” and is known as the imaginary unit.
Imaginary numbers are important in many areas of mathematics, including algebra, calculus, and complex analysis. They are used to represent quantities that cannot be expressed using real numbers alone, such as the solutions to certain equations and the values of certain mathematical functions.
One of the most important properties of imaginary numbers is that they can be added, subtracted, multiplied, and divided in the same way as real numbers. For example, the sum of two imaginary numbers can be found by adding their real parts and imaginary parts separately. The product of two imaginary numbers can be found using the distributive property of multiplication.
there are also complex numbers, which are numbers that can be written as a sum of a real number and an imaginary number. Complex numbers can be represented graphically on a plane, with the real part represented on the x-axis and the imaginary part represented on the y-axis.
Imaginary numbers and complex numbers have many applications in mathematics and science, including in electrical engineering, quantum mechanics, and signal processing. They are also important in the study of functions, particularly in the field of complex analysis.
the square root of -1 is denoted by the symbol “i” and is known as the imaginary unit. Imaginary numbers and complex numbers are important in many areas of mathematics and science, and can be added, subtracted, multiplied, and divided in the same way as real numbers. Understanding the properties and applications of imaginary and complex numbers is essential for advanced mathematical study and scientific research.