Question 1020358
simplify {{{sqrt(512k^2)}}}
512 is a power of 2
{{{sqrt(2^9*k^2)}}}
Write it to reveal the perfect squares
{{{sqrt(2^4*2^4*2*k*k)}}}
extract the square root of those square
{{{2^4*k*sqrt(2)}}} = {{{16k*sqrt(2)}}}