113k views
4 votes
Determine which expressions represent real numbers and which expressions represent complex numbers.

0 + 91

7 - 51

V-6

-12

- 2 + 19 (5)

2 - 72

16

Real Numbers

Complex Numbers

User Krl
by
5.1k points

1 Answer

4 votes

There seems to be a mistake in typing. You probably type the letter "i" as "1", so it is difficult to tell which numbers are complex numbers.

I will however explain what complex numbers look like, which will help you in determining which numbers are complex numbers, and the rest are real numbers.

Explanation:

Complex numbers are numbers that include the square root of a negative number.

It is not possible to have a value for an expression with a square root of a negative number, then the letter j or i were introduced to help represent these kinds numbers.

√-1 = i or j (anyone is fine)

Knowing the square root of -1 is i, we can write the square root of any negative number with ease.

√(-6) = √(-1) × √6, right?

= i × √6

= i√6

And so on.

So, basically, the numbers that include the letter 'i', or √(-1) in them are the complex numbers. The rest are real numbers.

User Gfrost
by
5.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.