Lean How to Multiply Two Binomials with Radical Terms

The video tutorial covers the application of the FOIL method and the box method for multiplying binomials. It explains the concept of square roots and like terms, using examples to illustrate why certain terms cannot be combined. The tutorial provides a detailed walkthrough of solving a problem using the FOIL method, emphasizing the importance of the distributive property. The session concludes with final calculations and a summary of the key points discussed.

What is the primary method discussed for multiplying binomials?

• Box method

• FOIL method

• Cross multiplication

• Distributive property

Why can't you add terms like X and sqrt(X)?

• They are both irrational numbers

• They are both under a square root

• They are not like terms

• They have different coefficients

In the example given, what is the result of 2 + 3 times sqrt(4)?

• 5 sqrt(4)

• 10

• 6

• 8

What is the result of multiplying 2 sqrt(2) and -5 sqrt(2)?

• -10 sqrt(2)

• -5 sqrt(2)

• -20

• -10

What is the final expression obtained after applying the FOIL method in the example?

• -5 - 19 sqrt(2)

• -5

• 15 - 19 sqrt(2)

• 15 - 20