Question 117469
{{{sqrt(80*m^2)}}}Start with the given expression

{{{sqrt(16*5*m^2)}}} Factor {{{80}}} into {{{16*5}}}
 
 
{{{sqrt(16)*sqrt(5)*sqrt(m^2)}}} Break up the square root using the identity {{{sqrt(x*y)=sqrt(x)*sqrt(y)}}}
 
{{{4*sqrt(5)*sqrt(m^2)}}} Take the square root of the perfect square {{{16}}} to get 4 
 
{{{4*sqrt(5)*m}}} Take the square root of the perfect squares {{{m^2}}} to get {{{m}}} 
 
{{{4*sqrt(5)*m}}} Multiply the common terms 

{{{4*m*sqrt(5)}}} Rearrange the terms