Question 142362
{{{sqrt(3)*sqrt(8)}}} Start with the given expression



{{{sqrt(3*8)}}} Combine the square roots. Remember {{{sqrt(x)*sqrt(y)=sqrt(x*y)}}}



{{{sqrt(24)}}} Multiply




{{{sqrt(4*6)}}} Factor 24 into 4*6
 


{{{sqrt(4)*sqrt(6)}}} Break up the square roots using the identity {{{sqrt(x*y)=sqrt(x)*sqrt(y)}}}
 


{{{2*sqrt(6)}}} Take the square root of the perfect square 4 to get 2 
 



So the expression {{{sqrt(3)*sqrt(8)}}} simplifies to {{{2*sqrt(6)}}}