Question 316035
{{{sqrt(8z^12)}}} Start with the given expression.



{{{sqrt(4*2z^12)}}} Factor 8 into 4*2



{{{sqrt(4*2(z^6)^2)}}} Rewrite {{{z^(12)}}} as {{{(z^6)^2}}}



{{{sqrt(4)*sqrt(2)*sqrt((z^6)^2)}}} Break up the square root.



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



{{{2*sqrt(2)*z^6}}} Take the square root of {{{(z^6)^2}}} to get {{{z^6}}}.



{{{2z^6*sqrt(2)}}} Rearrange the terms.



So {{{sqrt(8z^12)=2z^6*sqrt(2)}}} where {{{z>=0}}}