Question 85976
Let's see if I have this right!
Evaluate:
{{{highlight((2sqrt(3))*(3sqrt(6)))-5sqrt(2)}}} Perform the indicated multiplication.
{{{highlight((2*3)(sqrt(3)*sqrt(6))) - 5sqrt(2)}}} Simplify.
{{{highlight(6sqrt(18))-5sqrt(2)}}} Simplify the first radical.
{{{highlight(6sqrt(9*2))-5sqrt(2)}}} Take out the {{{sqrt(9)=3}}}
{{{highlight(6*3sqrt(2))-5sqrt(2)}}}
{{{highlight(18sqrt(2))-5sqrt(2)}}} Finally, factor out the {{{sqrt(2)}}} and perform the indicated subtraction.
{{{sqrt(2)(18-5)}}}
{{{13sqrt(2)}}}