Respuesta :

Answer:

D

Step-by-step explanation:

by definition, the square root of an negative number is known as an imaginary number. i.e Not a real number

[tex]\sqrt{-2}[/tex] = [tex]\sqrt{2}[/tex][tex]\sqrt{-1}[/tex] = [tex]\sqrt{2}[/tex]i (imaginary number)

The [tex]\sqrt{-2}[/tex] is not a real number.

The following information should be considered with respect to the real number:

  • The numbers should be found in the number line.
  • It should be in fractions, whole, naturals, rational, irrational.
  • But it can't be in imaginary numbers.

Therefore, the first three options are considered to be the real number.

Thus we can conclude that the [tex]\sqrt{-2}[/tex] is not a real number.

Learn more: brainly.com/question/17429689