Rewriting a number using i

The video tutorial explains how to simplify square roots involving negative numbers by using the imaginary unit 'i'. It starts by introducing the concept of the root of a product and the imaginary unit. The tutorial then demonstrates how to rewrite and simplify the square root of a negative number, specifically sqrt(-28), by breaking it down into simpler components using factorization. The process involves recognizing that sqrt(-1) is 'i' and simplifying sqrt(28) by identifying factors that are perfect squares. The lesson concludes with a final simplification and a summary of the steps involved.

What is the property that allows the square root of a product to be expressed as the product of square roots?

• Product Property of Square Roots

• Distributive Property

• Commutative Property

• Associative Property

What does the imaginary unit 'i' represent?

• The square root of 2

• The square root of 0

• The square root of -1

• The square root of 1

How can the square root of a negative number be rewritten?

• As a product involving 'i'

• As a positive number

• As a whole number

• As a fraction

Which factor is used to simplify sqrt(28) in the example?

• 2

• 5

• 3

• 4

What is the final simplified form of sqrt(-28) as shown in the tutorial?

• sqrt(28) * i

• 4 * sqrt(7) * i

• 2 * sqrt(7) * i

• 7 * sqrt(2) * i