Using root properties and complex numbers, it is found that the equivalent expression is:
[tex]6i\sqrt{3}[/tex]
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The most widely used definition in complex numbers is:
[tex]i^2 = -1 \rightarrow \sqrt{-1} = i[/tex]
The expression is:
[tex]2\sqrt{-27} = 2\sqrt{3 \times -9} = 2\sqrt{3 \times 9 \times -1}[/tex]
Applying the property:
[tex]2\sqrt{3 \times 9 \times -1} = 2\sqrt{3}\sqrt{9}\sqrt{-1} = 6i\sqrt{3}[/tex]
[tex]6i\sqrt{3}[/tex] is the equivalent expression.
A similar problem is given at https://brainly.com/question/13201088
