Question 683212
1.
{{{-3sqrt(3) - 2sqrt(8) - 2sqrt(8)}}}
{{{-3sqrt(3) - 4sqrt(8)}}}
{{{-3sqrt(3) - 4*2sqrt(2)}}}
{{{highlight_green(-3sqrt(3) - 8sqrt(2))}}}
...
2.
{{{4/sqrt(2) + 3}}}
{{{(4/sqrt(2))(sqrt(2)/sqrt(2)) + 3}}}
{{{4sqrt(2)/(sqrt(2)*sqrt(2)) + 3}}}
{{{(4sqrt(2)/2) + 3}}}
{{{highlight_green(2sqrt(2) + 3)}}}
...
3. 
{{{(1-4sqrt(5))(-3+2sqrt(5))
FOIL
{{{1(-3) + 1(2sqrt(5)) - 4sqrt(5)(-3) - 4sqrt(5)(2sqrt(5))}}}
{{{-3 + 2sqrt(5) + 12sqrt(5) - 8sqrt(5)}}}
{{{highlight_green(-3 + 6sqrt(5))}}}
...
4.
{{{2/(5+sqrt(3))}}}
{{{(2/(5+sqrt(3)))((5-sqrt(3))/(5-sqrt(3)))}}}
{{{(2(5+sqrt(3)))/((5+sqrt(3))(5-sqrt(3)))}}}
...
denominator
{{{(5+sqrt(3))(5-sqrt(3))}}}
{{{25 + 5(-sqrt(3)) + 5sqrt(3) + sqrt(3)(-sqrt(3))}}}
{{{25 - 3}}}
{{{22}}}
...
{{{(10+2sqrt(3))/(22)}}}
{{{highlight_green((5+sqrt(3))/(11))}}}
.....................
Have more questions? 
Email: HomeworkHelpers@readingboosters.com
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com 
Wanting for others what we want for ourselves.