Question 195119


{{{sqrt(50)+2*sqrt(32)-sqrt(8)}}} Start with the given expression



{{{5*sqrt(2)+2*sqrt(32)-sqrt(8)}}} Simplify {{{sqrt(50)}}} to get {{{5*sqrt(2)}}}. 



{{{5*sqrt(2)+2*4*sqrt(2)-sqrt(8)}}} Simplify {{{sqrt(32)}}} to get {{{4*sqrt(2)}}}.



{{{5*sqrt(2)+2*4*sqrt(2)-2*sqrt(2)}}} Simplify {{{sqrt(8)}}} to get {{{2*sqrt(2)}}}.



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

 

Since we have the common term {{{sqrt(2)}}}, we can combine like terms



{{{(5+8-2)sqrt(2)}}} Factor out the GCF {{{sqrt(2)}}}



{{{11*sqrt(2)}}} Combine like terms.



So {{{sqrt(50)+2*sqrt(32)-sqrt(8)}}} simplifies to {{{11*sqrt(2)}}}. 



In other words,  {{{sqrt(50)+2*sqrt(32)-sqrt(8)=11*sqrt(2)}}}