39.0k views
5 votes
Identify the number as real, complex, pure imaginary, or nonreal complex. (More than one of these descriptions may apply.) 2+3i

1 Answer

3 votes

Answer:

The number 2+3i is a complex number.

A complex number is a number that consists of a real part and an imaginary part. In this case, the real part is 2 and the imaginary part is 3i. The imaginary part is represented by the letter "i," which is defined as the square root of -1.

To determine if a number is real, complex, pure imaginary, or nonreal complex, we look at the imaginary part.

Since the imaginary part of 2+3i is not zero (3i ≠ 0), it is not a pure imaginary number.

A pure imaginary number is a complex number where the real part is zero.

Therefore, 2+3i is a complex number. It is neither a real number nor a pure imaginary number.

Explanation:

<3

User PradeepKumar
by
9.0k points