Originally Posted by

**danzig** Perform the indicated operation and simplify:

(2 √5 - 4 √6)(3 √3 + 8 √2)

So I used FOIL to expand.. not sure if people are familiar with the term (first term, outside/inside term, last term) and got.

(2 x 3)(√5 x √3) + (2 x 8)(√5 x √2) + (-4 x 3)(√6 x √3) + (-4 x 8)(√6 x √2)

Then simplified √18 and √12 further

6√15 + 16√10 - 12(3√2) - 32(2√3)

= 6√15 + 16√10 -36√2 - 64√3

.. Problem is I never learned a way to check your answer, if there is even one. Any clarification would greatly be appreciated.