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What is a non real complex number?

Updated: 4/28/2022
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Complex numbers are written in the form (a+bi), where i is the square root of -1.

A real number does not have any reference to i in it.

A non real complex number is going to be a complex number with a non-zero value for b, so any number that requires you to write the number i is going to be an answer to your question.

2+2i for example. (2 plus 2 times i)

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Q: What is a non real complex number?
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What is the difference between a complex number and a non real complex number?

Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.


How many roots in a radical problem if the index is odd?

An odd number. In the complex field, the number of roots is the same as the index. Complex (non-real) roots come in pairs (complex conjugates) so the number of real roots will also be odd.


Is every real number a complex number?

A complex number is a number of the form a + bi, where a and b are real numbers and i is the principal square root of -1. In the special case where b=0, a+0i=a. Hence every real number is also a complex number. And in the special case where a=0, we call those numbers pure imaginary numbers. Note that 0=0+0i, therefore 0 is both a real number and a pure imaginary number. Do not confuse the complex numbers with the pure imaginary numbers. Every real number is a complex number and every pure imaginary number is a complex number also.


Is every irrational number a complex number?

Yes! Every complex number z is a number, z = x + iy with x and y belonging to the field of real numbers. The real number x is called the real part and the real number y that accompanies i and called the imaginary part. The set of real numbers is formed by the meeting of the sets of rational numbers with all the irrational, thus taking only the complex numbers with zero imaginary part we have the set of real numbers, so then we have that for any irrational r is r real and complex number z = r + i0 = r and we r so complex number. So every irrational number is complex.


Is a complex number a number that can be written in the form a plus bi where a and b are real numbers?

Yes, a+bi is standard form for a complex number. The numbers (a) and (b) are both real and i is √(-1)

Related questions

What is a non-real complex?

A complex number x+iy is non-real if x=0 like 0+i13


What is the difference between a complex number and a non real complex number?

Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.


Is every complex number a pure imaginary number?

No. For example the number 1+i. Pure imaginary complex numbers are of the form 0 + a*i, where a is a non-zero real number.


What is a A Non-Real number?

Most famously, an imaginary number, that is, a number whose square (which is the number multiplied by itself) is negative. All real numbers have positive squares. A complex number, is a number which is the sum of a real number and an imaginary number, and so is also a non-real number.


How many roots in a radical problem if the index is odd?

An odd number. In the complex field, the number of roots is the same as the index. Complex (non-real) roots come in pairs (complex conjugates) so the number of real roots will also be odd.


Is pi irrational rational complex or an integer?

pi is real, irrational and transcendent; it is not rational, complex, nor an integer.Yes, it is non-terminating and non-repeating.Yes, pie is an irrational number.


Is one a real complex pure imaginary or nonreal complex number?

One is a complex number and a real number.


Can you figure out two complex numbers that when mulitplied together become a real number?

3 and 5 are both complex numbers, and if you multiply them together, you get 15, which is a real number. If you were looking for two non-real complex numbers, then any pair of complex conjugates will work. For example, 5+2i times 5-2i is 29.


What do you get if you raise a real number to a complex number?

You get a complex number unless the real number happens to be 0 or 1.


Can the product of two non real complex numbers be a real number?

Yes. Consider as the simplest example: i * i = -1. But there are others: (a + bi)(a - bi) = a² + b². When you multiply conjugates, the result is always real. This is useful when dividing to get a pure real number in the denominator.


Is -4 a nonreal complex number?

No. Negative four is a real number. All real numbers are also complex numbers, so it is a complex number (but it's real, not nonreal)


How is a percent a real number?

It need not be. For example, a complex number as a percent of most other complex numbers, or any real number, will not be a real number.