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Write in terms of i . Simplify your answer as much as possible. Square root -27

Sagot :

Answer:

3i[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i

Given

[tex]\sqrt{-27}[/tex]

= [tex]\sqrt{9(3)(-1)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]

= 3i[tex]\sqrt{3}[/tex]

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