Question 224811
{{{(3*sqrt(2)-6*sqrt(5))(4*sqrt(2)+8*sqrt(5))}}}
Factor this out:
{{{(3*sqrt(2)*4sqrt(2))+(3*sqrt(2)*8*sqrt(5))-(6*sqrt(5)*4*sqrt(2))-(6*sqrt(5)*8*sqrt(5))}}}
Now, combine all the terms:
{{{(3*4*2)+(24*sqrt(10))-(24*sqrt(10))-(6*8*5)}}}
The middle terms cancel out and the first and last terms can be multiplied and then combined to yield:
{{{24-240}}}
=-216