savagenegro420 savagenegro420
  • 22-03-2019
  • Mathematics
contestada

Sum of radical sign -2 and radical sign -18

Sum of radical sign 2 and radical sign 18 class=

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jimrgrant1 jimrgrant1
  • 22-03-2019

Answer:

B

Step-by-step explanation:

Note that [tex]\sqrt{-1}[/tex] = i

[tex]\sqrt{-2}[/tex] = [tex]\sqrt{2(-1)}[/tex] = [tex]\sqrt{2}[/tex] i

[tex]\sqrt{-18}[/tex] = [tex]\sqrt{9(2)(-1)}[/tex] = 3[tex]\sqrt{2}[/tex] i

Thus the sum is

[tex]\sqrt{2}[/tex] i + 3[tex]\sqrt{2}[/tex] i = 4[tex]\sqrt{2}[/tex] i → B

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