Question

Which numbers are imaginary numbers? There may be more than one correct answer. Select all correct answers.

A) \sqrt(-(1)/(2))
B) \sqrt(-7)
C) -\sqrt(4)
D) \sqrt(-8)
E) \sqrt(-(5)/(7))
E) −3

Answer 1

the square root of any negative number (a,b,d,e)

Explanation:

i (imaginary number sign) is defined as the
`√(-1)` because you can't have a number multiplied by itself be a negative (-1 x -1 = +1) therefore the square root of any negative number is imaginary.

Answer 2

Answer: Option A, B, D, E

Explanation:

By definition, imaginary numbers are all those that contain the square root of a negative number.

For example

`√(-30)\\\\√(-1.25)\\\\`

Then identify among the options those numbers that contain the square root of a negative number

The options that meet these characteristics are (A, B, D, E)

`\sqrt{-(1)/(2)}\\\\ √(-7)\\\\ √(-8)\\\\\sqrt{-(5)/(7)}`