Exploring Complex Numbers Fundamentals

What is the imaginary unit 'i' defined as?

• The square root of -1

• The square root of 1

• The square root of -2

• The square root of 2

Which of the following is a rational number?

• √2

• 3/4

• i

• π (pi)

What do we call numbers that are part real and part imaginary?

• Complex numbers

• Irrational numbers

• Rational numbers

• Whole numbers

What is the value of i squared?

• -1

• i

• 1

• -i

What is i to the power of 4 equal to?

• 1

• -1

• i

• -i

Simplify i to the power of 102.

• -i

• i

• -1

• 1

What is the result of adding 3 - 4i and -2 - 3i?

• 1 + 7i

• 1 - 7i

• 5 + 1i

• 5 - 1i

What is the simplified form of 5i * -7i?

• -35

• 35i

• -35i

• 35

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

• 8 - 10i - 3i^2

• 8 + 10i + 3i^2

• 8 + 10i - 3i^2

• 8 - 10i + 3i^2

Simplify the radical expression √(-18).

• 3i√2

• 3√-2

• 3√2

• 3i√-2