Question 251887


{{{3*sqrt(12)+2*sqrt(3)}}} Start with the given expression



{{{3*2*sqrt(3)+2*sqrt(3)}}} Simplify {{{sqrt(12)}}} to get {{{2*sqrt(3)}}}. Note: If you need help with simplifying square roots, check out this <a href=http://www.algebra.com/algebra/homework/Radicals/simplifying-square-roots.solver> solver</a>.



{{{6*sqrt(3)+2*sqrt(3)}}} Multiply 3 and 2 to get 6.

 

Since we have the common term {{{sqrt(3)}}}, we can combine like terms



{{{(6+2)sqrt(3)}}} Factor out the GCF {{{sqrt(3)}}}



{{{8*sqrt(3)}}} Combine like terms.



So {{{3*sqrt(12)+2*sqrt(3)}}} simplifies to {{{8*sqrt(3)}}}.



In other words,  {{{3*sqrt(12)+2*sqrt(3)=8*sqrt(3)}}}