Identify each number as real, complex, pure imaginary, or nonreal...

Question

Identify each number as real, complex, pure imaginary, or nonreal com-plex. (More than one of these descriptions will apply.) √-36

Accepted Answer

Hello Everyone. We need to choose the appropriate option for the square root of -289. So before I can figure out if it's an imaginary number or complex number, I want to simplify it as far as I can. So the square root of -289. First thing I know is that I want to factor out the -1. So the square root of negative one Times the square to Square. The -1 is I. And then I need to figure out do I know if 289 is a perfect square? After quickly reviewing a chart, I can tell you that it is a perfect square and the square root of 289 is 17. So when this is simplified we are left with 17. I so now we need to figure out, is that a real number? No. Is it a pure imaginary number? It can be an imaginary number. Could this be considered a complex number? It could because our real part could be zero. This could be the complex number. Zero plus 17. I. So our solution is D. That it is both be an imaginary number and see a non real complex number. Have a good day.

My Courses

Chemistry

Biology

Math

Physics

Business

Social Sciences

Programming

Product & Marketing

Identify each number as real, complex, pure imaginary, or nonreal com-plex. (More than one of these descriptions will apply.) √-36