Imaginary Numbers and Simplification

The video tutorial explains how to handle negative radicands by using imaginary numbers. It begins with an introduction to imaginary numbers and their role in simplifying expressions with negative radicands. The tutorial then demonstrates how to simplify radicals by identifying and using perfect square factors, ultimately leading to simplified expressions involving imaginary numbers.

What is the imaginary unit 'i' defined as?

• The square root of 0

• The square root of 2

• The square root of -1

• The square root of 1

In the first example, what is the simplified form of the square root of -25?

• 5

• 5i

• 25i

• i

What is the result of subtracting 3i from 5i?

• 1i

• 0

• 2i

• 8i

Which of the following is a perfect square factor of 50?

• 50

• 25

• 10

• 5

What is the simplified form of the square root of -8 using perfect square factors?

• 2i

• 4i

• 2√2i

• 8i