Simplifying Radicals with Imaginary Numbers

This video tutorial teaches how to simplify radicals, including those with negative radicands, using the imaginary unit 'i'. It begins with an introduction to key vocabulary such as the radical symbol and radicand. The tutorial then explains the process of simplifying radicals, highlighting common misunderstandings. It introduces the imaginary unit 'i' and demonstrates how to simplify expressions with negative radicands. The video concludes with examples and a summary of the concepts covered.

How do you simplify sqrt(-36)?

• 6i

• 6

• sqrt(36)

• None of the above

What is the final answer when simplifying sqrt(-147)?

• 7 * sqrt(3) * i

• 7 * sqrt(3)

• sqrt(147) * i

• None of the above

How would you simplify sqrt(-24)?

• 2 * sqrt(6) * i

• 4 * sqrt(6)

• sqrt(24) * i

• None of the above