Question 210782
{{{(3/5)sqrt(24)+(2/5)sqrt(150)-sqrt(96)}}} Factor each of the radicands.
{{{(3/5)sqrt(4*6)+(2/5)sqrt(25*6)-sqrt(16*6)}}} Take the square root of the perfect square numbers and move them out from under the radicals.
{{{(3/5)*2*sqrt(6)+(2/5)*5*sqrt(6)-4*sqrt(6)}}} Simplify.
{{{(6/5)sqrt(6)+2sqrt(6)-4sqrt(6)}}} Factor the {{{sqrt(6)}}}
{{{sqrt(6)((6/5)+2-4)}}} Evaluate the parentheses.
{{{highlight((-4/5)sqrt(6))}}}