Exploring Operations with Complex Numbers

What is the definition of the imaginary unit 'i'?

• The square root of 1

• The square root of 2

• The square root of -1

• The square root of 0

How are complex numbers generally written?

• a * bi

• a - bi

• a / bi

• a + bi

What is the value of i^2?

• 1

• i

• 0

• -1

What is the value of i^3?

• -1

• i

• -i

• 1

When combining like terms in complex numbers, what do you do with the imaginary parts?

• Ignore them

• Add them to the real parts

• Combine them separately from the real parts

• Multiply them by the real parts

What is the result of combining 2 + 3i and 1 - 2i?

• 1 - i

• 1 + i

• 3 - i

• 3 + i

What is the result of multiplying 2 + i and 3 - 2i?

• 6 - 4i + 3i + 2i^2

• 6 - 4i - 3i + 2i^2

• 6 - 4i + 3i - 2i^2

• 6 + 4i - 3i - 2i^2

What is the simplified form of (5 + 3i)(5 - 3i)?

• 25 + 9

• 25 - 9

• 16

• 34

How do you simplify the square root of -25?

• 5i

• -5i

• 25i

• -25i

What is the simplified form of the square root of -75?

• 3√5i

• 3i√5

• 5√3i

• 5i√3