Question 87858
Simplify:
{{{(sqrt(2x))(sqrt(32x^5))}}} Recall that:{{{(sqrt(a))(sqrt(b)) = sqrt(a*b)}}} Apply this to your problem:
{{{(sqrt(2x))(sqrt(32x^5)) = sqrt(2*32*x*x^5)}}} Simplify.
{{{sqrt(64x^6)}}} Rewrite this as:
{{{sqrt(8^2*(x^3)^2)}}} Now you can take the square root of the squared quantities out from under the radical, because: {{{sqrt(a^2) = a}}} so you get:
{{{8x^3}}}