Exploring Imaginary Numbers in Depth

What is the issue with having a negative sign under a square root in real numbers?

• It indicates a calculation error.

• It results in an imaginary number.

• It results in a complex number.

• It results in a positive number.

What is the imaginary unit 'i' defined as?

• The square root of any negative number

• The square root of 0

• The square root of -1

• The square root of 1

How is a pure imaginary number written?

• a + b

• a - bi

• bi

• a + bi

What is the simplified form of the square root of -9?

• 3

• i3

• 3i

• 9i

What is the simplified form of the square root of -196?

• 196i

• i14

• 14

• 14i

What is the simplified form of the square root of -80?

• i4√5

• 4i√5

• i8√5

• 8i√5

What is the simplified form of the square root of -32?

• i8√2

• 8i√2

• i4√2

• 4i√2

What is the simplified form of the square root of -192?

• i16√3

• 8i√3

• i8√3

• 16i√3

How do you solve x^2 = -81 using imaginary numbers?

• x = ±i81

• x = ±9

• x = ±i9

• x = ±81

How do you solve 2x^2 = -8 using imaginary numbers?

• x = ±2i

• x = ±i4

• x = ±4i

• x = ±i2