<PRE><B>Question 75143</B>
3 is the index of the radical and underneath the radical is 54a to the 5th power, c to the 7th power, and e to the 9th power. 
:
3{{{sqrt(54a^5*c^7*e^9)}}}
:
we want to extract as much as we can from the radical, this is the equivalent
divided up to illustrate the 3rd powers which can be extracted from a cube rt
:
3{{{sqrt(27*2*a^3*a^2*c^3*c^3*c*e^3*e^3*e^3)}}}
:
{{{3*a*c*c*e*e*e}}}*3{{{sqrt(2*a^2*c)}}}
:
Which is
{{{3*a*c^2*e^3}}} 3{{{sqrt(2*a^2*c)}}}
:
do you have any questions about this?</PRE>