Respuesta :

Hi there!

Answer:

D. 9i

*The answer must have a positive sign.*

Step-by-step explanation:

Lesson: Estimating and Comparing Square Roots.

Definition of Square Root

Square root- of a number is one of the number's two equal factors.

Every positive number has two square roots, one positive and one negative. The radical symbol, [tex]\sqrt{}[/tex], indicates the non-negative or principle square root.

First, you apply radical rule

[tex]\sqrt{-1}\sqrt{81}[/tex]

Then you apply imaginary by number rule.

[tex]\sqrt{81}i[/tex]

[tex]\sqrt{81}=9=9^2=9*9=81[/tex]

Therefore, the final answer is 9i.

I hope this helps you! :)

-Charlie

Thank you!