Respuesta :

Answer:

E

Step-by-step explanation:

[tex]\sqrt{-81}[/tex] is the same as [tex]\sqrt{81}[/tex] · [tex]\sqrt{-1}[/tex]

This can be simplified to 9 · [tex]\sqrt{-1}[/tex]

And the square root of -1 is i,

so this equals 9i

[tex]\sqrt{- 81}[/tex] is equivalent to 9i.

What is the square root?

Square root of a number is the number by which if we multiply the same number, then we will get the first number.

Given, [tex]\sqrt{- 81}[/tex] = ± 9i

A. -[tex]\sqrt{9}[/tex] = ∓ 3

B. i [tex]\sqrt{9}[/tex] = ± 3i

C. [tex]\sqrt{9i}[/tex] = ± [tex]3 \sqrt{i}[/tex]

D. -9 = - 9

E. 9i = 9i

Therefore, option E is correct.

Lear more about square root here: https://brainly.com/question/14465888

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