Question 116247
{{{sqrt(25*a^2b^2)}}}Start with the given expression


{{{sqrt(25)*sqrt(a^2)*sqrt(b^2)}}} Break up the square root using the identity {{{sqrt(x*y)=sqrt(x)*sqrt(y)}}}
 

{{{5*sqrt(a^2)*sqrt(b^2)}}} Take the square root of the perfect square 25 to get 5

 
{{{5*ab}}} Take the square root of the perfect squares {{{a^2}}} and {{{b^2}}} to get {{{a}}} and {{{b}}}