Question 6392
{{{sqrt(20x^5)}}}


Find all perfect squares that divide into the radicand {{{20x^5}}}.  That would be {{{4}}} and when it comes to variables raised to a power, the power must be divisible by 2.  Try {{{x^4}}}.  Write the square root as a product of two square roots with all the perfect squares in the first radical and left over factors in the second radical:
{{{sqrt(20x^5) }}}
{{{sqrt(4x^4)*sqrt(5x)}}}


You can easily take the square root of the first radical, and leave the second part in the radical:
{{{2x^2 * sqrt(5x)}}}


R%^2 at SCC