Question 111023
{{{sqrt(16*a^4*x^2)}}}Start with the given expression

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