## anonymous 5 years ago (sqrt 3 - sqrt 2)(5 Sqrt 2 - 4 sqrt 3)

1. anonymous

This question isn't hard. just FOIL it's going to be messy, so just be careful with each step (a-b)(c-d) ac - bc - ad + bd good luck!

$(\sqrt{3}-\sqrt{2})(5\sqrt{2}-4\sqrt{3})=5\sqrt{6}-10-12+4\sqrt{6}=9\sqrt{6}-22$

3. anonymous

Review the rules for multiplication of radicals$\sqrt{ab}=\sqrt{a}\sqrt{b}$

$3\sqrt{2} \times4\sqrt{6}=12\sqrt{12}$