What is an imaginary number multiplied by another imaginary number?
An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i2 = −1. The square of an imaginary number bi is −b2. For example, 5i is an imaginary number, and its square is −25.
When you multiply √ 2 and √ 8 What type of a number is obtained?
Now, when we multiply an irrational number,√2, by a rational number, 2, the result so obtained, 2√2, is an irrational number. Hence, the square root of 8, i.e.,√8, is an irrational number 2√2.
How are imaginary numbers used in the real world?
Imaginary numbers, also called complex numbers, are used in real-life applications, such as electricity, as well as quadratic equations. Imaginary numbers can also be applied to signal processing, which is useful in cellular technology and wireless technologies, as well as radar and even biology (brain waves).
Which set of numbers are imaginary numbers?
Read More ->. Complex Numbers. A combination of a real and an imaginary number in the form a + bi, where a and b are real, and i is imaginary. The values a and b can be zero, so the set of real numbers and the set of imaginary numbers are subsets of the set of complex numbers.
What do imaginary numbers actually mean?
An imaginary number is a number that, when squared, has a negative result. Essentially, an imaginary number is the square root of a negative number and does not have a tangible value.
What are use imaginary numbers in the real world?
Imaginary numbers, also called complex numbers, are used in real-life applications, such as electricity , as well as quadratic equations. In quadratic planes, imaginary numbers show up in equations that don’t touch the x axis. Imaginary numbers become particularly useful in advanced calculus.
Can imaginary numbers be real numbers?
Essentially, an imaginary number is the square root of a negative number and does not have a tangible value. While it is not a real number — that is, it cannot be quantified on the number line — imaginary numbers are “real” in the sense that they exist and are used in math.