SOLUTION: simplify and add or subtract whenever possible. {{{2sqrt(18)-5sqrt(8)-2sqrt(12)}}}

Algebra ->  Radicals -> SOLUTION: simplify and add or subtract whenever possible. {{{2sqrt(18)-5sqrt(8)-2sqrt(12)}}}      Log On


   

Question 544082: simplify and add or subtract whenever possible.
2sqrt%2818%29-5sqrt%288%29-2sqrt%2812%29
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
2sqrt%2818%29-5sqrt%288%29-2sqrt%2812%29 find the left over squares
2sqrt%289%2A2%29-5sqrt%284%2A2%29-2sqrt%284%2A3%29 (9,4,4 all squares) take square roots of them
2%283%29sqrt%282%29-5%282%29sqrt%282%29-2%282%29sqrt%283%29 multiply roots to the number in front
6sqrt%282%29-10sqrt%282%29-4sqrt%283%29 the 6 and -10 have same variables
%286sqrt%282%29-10sqrt%282%29%29-4sqrt%283%29add like terms
%28-4sqrt%282%29-4sqrt%283%29%29 take out the -4
highlight%28-4%28sqrt%282%29%2Bsqrt%283%29%29%29 simplified