Question 174199


{{{sqrt(44)+2*sqrt(99)}}} Start with the given expression



{{{2*sqrt(11)+2*sqrt(99)}}} Simplify {{{sqrt(44)}}} to get {{{2*sqrt(11)}}}. 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>.



{{{2*sqrt(11)+2*3*sqrt(11)}}} Simplify {{{sqrt(99)}}} to get {{{3*sqrt(11)}}}.



{{{2*sqrt(11)+6*sqrt(11)}}} Multiply 2 and 3 to get 6.

 

Since we have the common term {{{sqrt(11)}}}, we can combine like terms



{{{(2+6)sqrt(11)}}} Combine like terms. Remember, {{{5x+3x-4x=(5+3-4)x=4x}}}



{{{8*sqrt(11)}}} Now simplify {{{2+6}}} to get {{{8}}}



So {{{sqrt(44)+2*sqrt(99)}}} simplifies to {{{8*sqrt(11)}}}. 



In other words,  {{{sqrt(44)+2*sqrt(99)=8*sqrt(11)}}}