Question 6000
{{{ sqrt(44) - sqrt(11) }}}


First look for a factor of 44 that is a perfect square.  That would be 4.  So break this down into 
{{{ sqrt(4)*sqrt(11) - sqrt(11) }}}


You know that the {{{sqrt(4) = 2}}}, so write this:
{{{ 2* sqrt(11) - sqrt(11) }}}


These are like terms, so you can combine them:
{{{ 2* sqrt(11) - 1* sqrt(11) }}}
{{{1 *sqrt(11) }}} or {{{sqrt(11) }}}


For additional examples and explanations IN LIVING COLOR, see also my webpage that will soon be a lesson plan in Algebra.com in the next few days, time permitting, at 
http://www2.scc-fl.edu/rrapalje/Math%20in%20Living%20Color/radical_expressions.htm. 

You can also find it by double clicking on my tutor name, rapaljer, and go to Math in Living Color, and then look under Basic Algebra.  I hope you can find it if you need additional examples and explanations--IN COLOR!!


R^2 at SCC