Question 126401

{{{2*sqrt(45)+6*sqrt(80)}}} Start with the given expression



{{{2*3*sqrt(5)+6*sqrt(80)}}} Simplify {{{sqrt(45)}}} to get {{{3*sqrt(5)}}}. 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*3*sqrt(5)+6*4*sqrt(5)}}} Simplify {{{sqrt(80)}}} to get {{{4*sqrt(5)}}}.



{{{6*sqrt(5)+6*4*sqrt(5)}}} Multiply 2 and 3 to get 6.

 

{{{6*sqrt(5)+24*sqrt(5)}}} Multiply 6 and 4 to get 24.

 

Since we have the common term {{{sqrt(5)}}}, we can combine like terms


{{{(6+24)sqrt(5)}}} Combine like terms. Remember, {{{5x+3x-4x=(5+3-4)x=4x}}}



{{{30*sqrt(5)}}} Now simplify {{{6+24}}} to get {{{30}}}




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Answer:


So {{{2*sqrt(45)+6*sqrt(80)}}} simplifies to {{{30*sqrt(5)}}}. 



In other words,  {{{2*sqrt(45)+6*sqrt(80)=30*sqrt(5)}}}