Question 195128


{{{4*sqrt(300)-8*sqrt(75)}}} Start with the given expression



{{{4*10*sqrt(3)-8*sqrt(75)}}} Simplify {{{sqrt(300)}}} to get {{{10*sqrt(3)}}}. 



{{{4*10*sqrt(3)-8*5*sqrt(3)}}} Simplify {{{sqrt(75)}}} to get {{{5*sqrt(3)}}}.



{{{40*sqrt(3)-8*5*sqrt(3)}}} Multiply 4 and 10 to get 40.

 

{{{40*sqrt(3)-40*sqrt(3)}}} Multiply 8 and 5 to get 40.



{{{(40-40)*sqrt(3)}}} Factor out the GCF {{{sqrt(3)}}}



{{{0*sqrt(3)}}} Combine like terms.



{{{0}}} Multiply

 

So {{{4*sqrt(300)-8*sqrt(75)}}} simplifies to {{{0}}}. 



In other words,  {{{4*sqrt(300)-8*sqrt(75)=0}}}