Operations with Complex Numbers

What is the imaginary unit 'i' defined as?

• The square root of 1

• The square root of 9

• The square root of -1

• The square root of 0

Tags

CCSS.HSN.CN.A.1

How can the square root of -9 be simplified using the imaginary unit?

• -3i

• -3

• 3i

• 3

What is the simplified form of the square root of -28?

• 2√7

• 4i√7

• i√28

• 2i√7

When solving x^2 = -3, what is the correct form of the solution?

• x = ±i/3

• x = ±3i

• x = ±i√3

• x = ±√3

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

In the equation x^2 = -24, what is the simplified form of the solution?

• x = ±i√24

• x = ±4i√6

• x = ±2i√6

• x = ±2√6

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

What is the standard form of a complex number?

• a - b

• a + b

• a - bi

• a + bi

Tags

CCSS.HSN.CN.A.1

How do you add the complex numbers (3 + 2i) and (2 + 3i)?

• 5 + 5i

• 1 + 5i

• 1 + i

• 5 + i

Tags

CCSS.HSN.CN.A.2

What is the result of subtracting (4 + 6i) from (3 - 12i)?

• -1 + 18i

• 1 - 18i

• -1 - 18i

• 1 + 18i

Tags

CCSS.HSN.CN.A.2

What is the value of i^2?

• 1

• -1

• i

• 0

Tags

CCSS.HSN.CN.A.1

What is the simplified form of (2 - i)(4 + 3i)?

• 8 - 6i

• 8 + 6i

• 11 - 2i

• 11 + 2i

Tags

CCSS.HSN.CN.A.2