Respuesta :

gmany

[tex]\sqrt{-1}=i\\\\\sqrt{-100}=\sqrt{100\cdot(-1)}=\sqrt{100}\cdot\sqrt{-1}=10i[/tex]


Answer: [tex]\sqrt{-100}=0+10i[/tex]

Complex numbers are square root of negative numbers. The result of the square root os -100 is 0 + 10i

Complex numbers

Complex numbers are square root of negative numbers. The standard complex number is expressed as x + ib

where:

  • a is the real part
  • b is the imaginary part

Given the expression

√−100

This can be simplified as:

√−100 = √100 * √−1

Since √−1 = i, hence

√−100= 10i + 0

Hence the result of the square root os -100 is 0 + 10i

Learn more on complex number here: https://brainly.com/question/2801231

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