An imaginary number is a number that cannot exist. An example of an imaginary number would be: the square root of negative nine, or any negative number.
When I try to think of any two of the same numbers that would multiply together to be negative nine, all I can think of is 3 or -3. when I square both of those numbers, I get the number 9, not -9. When I multiply two negatives together, I get a positive number, therefore there is no possible way to get the square root of -9, or any negative number.
If a number is pure imaginary then it has no real component. If it is a real number, then there is no imaginary component. If it has both real and imaginary components, then it is a complex number.
an imaginary number is imaginary so no (i guess) this answer kind of sucks
-125 is NOT an imaginary number.
An imaginary number is a number that has the square root of -1 as one of its factors.
A pure imaginary number is a complex number that has 0 for its real part, such as 0+7i.
2 does belong to the set of imaginary numbers. Any real number is also imaginary. Imaginary numbers are the set of all numbers that can be expressed as a +b*i where "i" is the square root of negative one and "a" and "b" are both real numbers.
No but the square root of 28 is an irrational number that can't be expressed as a fraction
The square root of 28 is an irrational number that can't be expressed as a fraction
The imaginary part is expressed as a product of i(square root of negative one), typically following a plus sign, so that the complex number has the form a + bi, with "a" the real part and "bi" the imaginary part.
Yes, you can take the logarithm of an imaginary number, but it's more complex than with real numbers. The logarithm of a complex number, including imaginary numbers, is defined using the polar form of the number. For an imaginary number like ( bi ) (where ( b ) is real), the logarithm can be expressed as ( \ln|b| + i\arg(b) ), where ( \arg(b) ) is the argument (angle) of the complex number in the complex plane. Thus, the result will also be a complex number.
A complex number is a two-dimensional continuous quantity that is the sum of a real number and an imaginary number expressed in the form a+bi and plotted on a complex coordinate plane with the real line on the horizontal x-axis and the imaginary line on the vertical y-axis.
The square root of -3 is an imaginary number and the square root of 3 is an irrational number that can't be expressed as a fraction
Yes. The number 1 + i is imaginary but not pure imaginary, while 5i is pure imaginary.
The square root of a negative number cannot be expressed with integers. The square root of a negative number is always imaginary.
A subset of imaginary numbers consists of numbers that can be expressed in the form (bi), where (b) is a real number and (i) is the imaginary unit, defined as (i = \sqrt{-1}). This subset includes numbers like (2i), (-3.5i), and (0.1i). Imaginary numbers can be thought of as a special case of complex numbers, which have both a real part and an imaginary part.
an imaginary number is imaginary so no (i guess) this answer kind of sucks
If a number is pure imaginary then it has no real component. If it is a real number, then there is no imaginary component. If it has both real and imaginary components, then it is a complex number.