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Mathematics
Which set of numbers are imaginary numbers?
{ 2 , 3 , 4 } {-2,-3,-4}
{ 2 , π , 3 } {sqrt2,pi,sqrt3}
{ 0 , 1 , 2 , 3 } {0,1,2,3}
{ 1 2 , 1 4 , 1 8 } {(1)/(2),(1)/(4),(1)/(8)}
{ 1 , 4 , 5 } {sqrt(-1),sqrt(-4),sqrt(-5)}
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Best Answer
The set of numbers that are imaginary numbers is { 1 , 4 , 5 } {sqrt(-1),sqrt(-4),sqrt(-5)}.
Answer: { 1 , 4 , 5 } {sqrt(-1),sqrt(-4),sqrt(-5)}
Step-by-step solution:
  • Imaginary numbers are the numbers that can be written in the form b i bi, where b b is a real number and i i is the imaginary unit, defined as i = 1 i=sqrt(-1).
  • The set { 2 , 3 , 4 } {-2,-3,-4} is not a set of imaginary numbers, as these numbers are real numbers.
  • The set { 2 , π , 3 } {sqrt2,pi,sqrt3} is not a set of imaginary numbers, as these numbers are real numbers.
  • The set { 0 , 1 , 2 , 3 } {0,1,2,3} is not a set of imaginary numbers, as these numbers are real numbers.
  • The set { 1 2 , 1 4 , 1 8 } {(1)/(2),(1)/(4),(1)/(8)} is not a set of imaginary numbers, as these numbers are real numbers.
  • The set { 1 , 4 , 5 } {sqrt(-1),sqrt(-4),sqrt(-5)} is a set of imaginary numbers, as these numbers can be written as b i bi where b b is a real number. Specifically, 1 = i sqrt(-1)=i, 4 = 2 i sqrt(-4)=2i, and 5 = 5 i sqrt(-5)=sqrt5i.
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