Algebra 2 - How to multiply to complex numbers using foil, (sqrt(-16) - 2) (sqrt(-4) - 1)

The video tutorial introduces the concept of using the imaginary unit 'i' to simplify mathematical problems involving radicals. The instructor explains how rewriting expressions with 'i' can make them easier to understand and solve, comparing it to multiplying polynomials. The tutorial covers methods like the box method and FOIL for multiplication, and explains the significance of 'i' squared being equal to negative one. The session concludes with a final answer and a brief wrap-up.

Why might using 'i' be beneficial when working with problems involving radicals?

• It eliminates the need for any calculations.

• It simplifies the problem and makes it easier to visualize.

• It is only useful for addition problems.

• It makes the problem more complex.

What is one method mentioned for multiplying complex numbers?

• The division method

• The addition method

• The subtraction method

• The box method

What is the result of multiplying 4i by 2i?

• 8i

• 8

• 8i squared

• 8i cubed

What does i squared represent?

• i

• 0

• 1

• -1

What is the final simplified form of the expression discussed in the video?

• -6 - 8i

• 6 + 8i

• -6 + 8i

• 6 - 8i