Question 885778
{{{sqrt(18x^2y)/sqrt(2y^3)}}} 
You can rewrite this,and do some cancleing
{{{sqrt((18x^2y)/(2y^3))}}} = {{{sqrt((9x^2)/y^2))}}}
All the terms left are perfect squares, extract those and you have
{{{(3x)/y}}}
:
Same here, combine and cancel like terms
{{{(4sqrt(2x))/(4sqrt(3x^2))}}} = {{{4sqrt((2x)/(3x^2))}}} = {{{4sqrt(2/(3x))}}}
:
Do the same as above but here you can extract the perfect squares
{{{sqrt(63xy^3)/sqrt(7y)}}} = {{{sqrt((63xy^3)/(7y))}}} = {{{sqrt(9xy^2)}}} = {{{3y*sqrt(x)}}}