How is multiplying radical expression similar to FOIL with binomials?

I have no idea what the teacher has in mind, in my mind, it is not like FOIL.

http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U16_L2_T3_text_final.html

Multiplying radical expressions involves applying the same principles as multiplying binomials using the FOIL method. The FOIL method stands for "First, Outer, Inner, Last," and it is used to multiply two binomials. Let's break it down step by step:

First, let's review the FOIL method with an example:

Suppose we have two binomials: (a + b) and (c + d). The FOIL method says:

F: Multiply the first terms of each binomial, which gives ac.
O: Multiply the outer terms of each binomial, which gives ad.
I: Multiply the inner terms of each binomial, which gives bc.
L: Multiply the last terms of each binomial, which gives bd.

Finally, we combine the like terms to get the final result:

(ac) + (ad) + (bc) + (bd)

Now, let's see how multiplying radical expressions is similar:

When multiplying radical expressions, we follow a similar step-by-step process:

1. Multiply the first term of each radical expression.
2. Multiply the outer terms of each radical expression.
3. Multiply the inner terms of each radical expression.
4. Multiply the last terms of each radical expression.

Finally, combine the like terms to get the final result.

So, just like the FOIL method, multiplying radical expressions involves multiplying each term in one radical expression with each term in the other radical expression. This way, we ensure that every term is multiplied with every other term, giving us the complete product.