<PRE><B>Question 552025</B>
express 5 square root 3x^3 minus 2 square root 27x^3 in simplest radical form
:
{{{5sqrt(3x^3) - 2sqrt(27x^3)}}}
factor to reveal some perfect squares inside the radicals
{{{5sqrt(3*x^2*x) - 2sqrt(9*3*x^2*x)}}}
extract the square root of those perfect squares
{{{5*x*sqrt(3x)- 2*3*x*sqrt(3x)}}}
which is, and are like terms, so just do the math
{{{5x*sqrt(3x)- 6x*sqrt(3x)}}} = {{{-x*sqrt(3x)}}}
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