Imaginary Numbers and Operations

The video tutorial covers simplifying radicals with negative values, focusing on the pattern of 'i'. It provides examples of simplifying negative radicals, combining complex numbers, and handling fractional radicals. The tutorial also demonstrates multiplying square roots of negative numbers, emphasizing the importance of understanding 'i' and its powers.

What is the imaginary unit 'i' defined as?

• The square root of 1

• The square root of -1

• The square root of 0

• The square root of 2

How do you simplify the square root of negative 64?

• 8i

• 64i

• 5i

• 40i

What is the result of 5i times 8?

• 5i

• 40

• 8i

• 40i

How do you write the expression 9i + 3i - 2 in standard form?

• -2 + 12i

• 12i - 2

• 9i + 3i - 2

• 12i + 2

What is the simplified form of the square root of negative 81?

• 9i

• 81i

• 3i

• 27i

What is the result of i divided by 7?

• 7i

• i/7

• 7/i

• i

How do you simplify the expression 1/5 + 2i/5?

• 1/5 + 2i

• 2i/5

• 1/5 + 2/5

• 1/5 + 2i/5

What is the result of multiplying 3i by 6i?

• -18

• 18i^2

• 18i

• 18

What is the simplified form of 18i^2?

• -18

• i

• 18

• 0

What is the square root of negative 36?

• -6i

• 6

• 36i

• 6i