Question

[25 POINT]

While I completely understand FOIL in the context of polynomials and such, and generally understand it when multiplying by a complex conjugate - I am still having trouble understanding where these numbers are coming from.

Looking for a very dumbed down explanation of FOIL in this instance (multiplying radicals in division by complex conjugate). A good answer to me would consistent of drawing out what is being multiplied by what in divisor and dividends.

All help is appreciated. Thank you!

Answer 1

Divide what’s on the top and bottom then do same thing to the other side and then multiple it

That’s roughly what it’s like

Answer 2

You need to divide what's on top first then what's on the bottom. After that you need to do the am to the other side. Then multiply them together