zahnjoey4905 zahnjoey4905
  • 02-01-2021
  • Mathematics
contestada

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

Respuesta :

jimrgrant1 jimrgrant1
  • 02-01-2021

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]

Answer Link

Otras preguntas

Part of ear that has 3 bones that amplify a sound wave. 1 point O Loundness Subsonic Temperature O Gas O Middle O Inner O Compressions
Which set of angles is an example of alternate interior angles?​
If the length of the box is 9 inches, the width is 14 inches, and the height is 20 inches, what is the volume of the box.
Which operation would you perform first in this expression? 3 × 2 + (9 − 3) ÷ 22
What is the first sing of dehydration
Find the m A)50 degrees B)60 degrees C)70 degrees D)80degrees
What are water and carbon dioxide in the cellular respiratoin reaction
Is from criminal justice please help me! Tanks you! :3
What is the solution to Mr. Smith's equation?
What would most likely happen if it didn’t rain in a certain area for a long period of time? A. Animals and plants would live the same way they always do. B.An