Question 196838

{{{4*sqrt(20)-3*sqrt(5)}}} Start with the given expression



{{{4*2*sqrt(5)-3*sqrt(5)}}} Simplify {{{sqrt(20)}}} to get {{{2*sqrt(5)}}}. 



{{{8*sqrt(5)-3*sqrt(5)}}} Multiply 4 and 2 to get 8.

 


{{{(8-3)sqrt(5)}}} Factor out the GCF {{{sqrt(5)}}}



{{{5*sqrt(5)}}} Combine like terms.



So {{{4*sqrt(20)-3*sqrt(5)}}} simplifies to {{{5*sqrt(5)}}}. 



In other words,  {{{4*sqrt(20)-3*sqrt(5)=5*sqrt(5)}}}