Q: Is 13i pure imaginary

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

Yes. The number 1 + i is imaginary but not pure imaginary, while 5i is pure imaginary.

It is a pure imaginary number.Since (a+bi)-(a-bi) = 2bi, it is a pure imaginary number (it has no real component).

no

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).

Yes, imaginary numbers are a subset of complex numbers.

Related questions

The square roots are -13i and 13i where i is the imaginary square root of -1.

Yes. The number 1 + i is imaginary but not pure imaginary, while 5i is pure imaginary.

It is a pure imaginary number.Since (a+bi)-(a-bi) = 2bi, it is a pure imaginary number (it has no real component).

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.

True. Complex numbers have a real part and an imaginary part. If either one of these is zero, the complex number will be a pure real or a pure imaginary.

-4

no

A pure imaginary number is a complex number that has 0 for its real part, such as 0+7i.

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).

Yes, imaginary numbers are a subset of complex numbers.

No. All Complex Numbers are of the form a + bi where a and b are Real Numbers and i is the square root of -1. So only ones where a = 0 are pure Imaginary Numbers.

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.