Question 134294

{{{sqrt(18)+sqrt(12)+sqrt(8)}}} Start with the given expression



{{{3*sqrt(2)+sqrt(12)+sqrt(8)}}} Simplify {{{sqrt(18)}}} to get {{{3*sqrt(2)}}}. 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>.



{{{3*sqrt(2)+2*sqrt(3)+sqrt(8)}}} Simplify {{{sqrt(12)}}} to get {{{2*sqrt(3)}}}.



{{{3*sqrt(2)+2*sqrt(3)+2*sqrt(2)}}} Simplify {{{sqrt(8)}}} to get {{{2*sqrt(2)}}}.



{{{5*sqrt(2)+2*sqrt(3)}}} Combine like terms



So {{{sqrt(18)+sqrt(12)+sqrt(8)}}} simplifies to {{{5*sqrt(2)+2*sqrt(3)}}}. In other words,  {{{sqrt(18)+sqrt(12)+sqrt(8)=5*sqrt(2)+2*sqrt(3)}}}