Which choice is equivalent to the expression below √-81
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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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