Question 172889
{{{sqrt(3)*(10*sqrt(2)-8*sqrt(3))}}} Start with the given expression



{{{sqrt(3)*10*sqrt(2)-sqrt(3)*8*sqrt(3)}}} Distribute



{{{10*sqrt(3)*sqrt(2)-8*sqrt(3)*sqrt(3)}}} Rearrange the terms.



{{{10*sqrt(3*2)-8*sqrt(3*3)}}} Combine the roots.



{{{10*sqrt(6)-8*sqrt(9)}}} Multiply



{{{10*sqrt(6)-8*3}}} Take the square root of 9 to get 3



{{{10*sqrt(6)-24}}} Multiply



{{{-24+10*sqrt(6)}}} Rearrange the terms.



So {{{sqrt(3)*(10*sqrt(2)-8*sqrt(3))=-24+10*sqrt(6)}}}