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Is the product of two pure imaginary numbers a real number?
Yes it is.
Is the product of two imaginary numbers always a pure imaginary number?
no
Can a complex number can't be a pure imaginary number?
A complex number can be a pure imaginary, or a pure real number, or a combination of the two. The form for a complex number is a + bi, where a & b can be any real numbers (so if a = 0, then the number is pure imaginary; and if b=0, then it is a real number).
Is the square root a real number?
The square roots of any positive real number are a positive and a negative real number. The square roots of any negative real number are a positive and a negative imaginary number. The square roots of any imaginary number or any complex number are two complex numbers.
Is the difference between two real numbers a real number?
Yes, I can't think of any way that a real number minus another real number would be complex or purely imaginary. My answer is yes.
Is the product of two pure imaginary numbers a real number?
Yes it is.
Is the product of two imaginary numbers always a pure imaginary number?
no
Is the product of two imaginary numbers always an imaginary number?
If you are talking about pure imaginary numbers (a complex number with no real part) then no. Example: bi times ci where b and c are real numbers equals b*c*i² = b*c*(-1) = -b*c, which is a real number, because b & c & -1 are all real numbers. If you're talking about multiplying two complex numbers (a + bi)*(c + di), then the product will be complex, but it could be real or imaginary, depending on the values of a, b, c, & d.
How do you write a pseudocode for additing two complex number?
Real part of the result = real part of first number + real part of second number Imaginary part of the result = imaginary part of first number + imaginary part of second number
Can an imaginary number be obtained by dividing two real numbers?
No.
Can a complex number can't be a pure imaginary number?
A complex number can be a pure imaginary, or a pure real number, or a combination of the two. The form for a complex number is a + bi, where a & b can be any real numbers (so if a = 0, then the number is pure imaginary; and if b=0, then it is a real number).
What value is a number's real value?
A complex number has two components: a real component and an imaginary one, and is usually written in the form x+yi where i is the imaginary square root of -1. The real component of such a number is x.
Is the square root a real number?
The square roots of any positive real number are a positive and a negative real number. The square roots of any negative real number are a positive and a negative imaginary number. The square roots of any imaginary number or any complex number are two complex numbers.
When the product of two irrational or imaginary numbers equals a rational number then the two factors are called?
They are called conjugates.
Is the difference between two real numbers a real number?
Yes, I can't think of any way that a real number minus another real number would be complex or purely imaginary. My answer is yes.
How do you write complex numbers in the form a plus bi?
A complex number comes in two parts: a real part and an imaginary part. If the value of the real part is a and the value of the imaginary part is b, the number is written as a + bi.
How do you know that the product of any two numbers greater than i must be a composite number?
Prime numbers have only two factors: one and themselves. By definition, your product would have more than that: one, the product and at least the two numbers that created the product. It has to be composite.
