Question 562751
<pre>
{{{sqrt(1/(3x^3y))}}}

You are to rationalize the denominator

To do that we make the denominator into a perfect square:

To become a square the 3 in the bottom needs to be multiplied by 3
To become a square the x³ in the bottom needs to be multiplied by x
To become a square the y in the bottom needs to be multiplied by y

So we multiply under the radical by the unit fraction  {{{red((3xy)/(3xy))}}}

{{{sqrt(

expr((1/(3x^3y)))*red(((3xy)/(3xy)))



)}}} = {{{sqrt((3xy)/(9x^4y^2))}}} = {{{sqrt(3xy)/(sqrt(9x^4y^2))}}} = {{{sqrt(3xy)/(3x^2y)}}}

Edwin</pre>