Question 78891
{{{(sqrt(2))*(8sqrt(5)-2sqrt(2))}}}
First, multiply the 2 terms on the right by {{{sqrt(2)}}}:
{{{(sqrt(2)*8sqrt(5))-(sqrt(2)*2sqrt(2))}}}
This can be simplified:
{{{8*sqrt(10)-(sqrt(2)*2sqrt(2))}}}
Recognize that {{{sqrt(2)*sqrt(2)=2}}} and simplify more:
{{{8*sqrt(10)-(2*2)}}}
{{{8*sqrt(10)-4}}}
You can factor out a 4...
{{{4(2*sqrt(10)-1)}}}
And I think that is as simplified as you can get.
Good Luck,
tutor_paul@yahoo.com