SOLUTION: Please help me add or subtract: {{{3/5}}}{{{sqrt(24)}}}+{{{2/5}}}{{{sqrt(150)}}}-{{{sqrt(96)}}} Thank you.

Algebra ->  Radicals -> SOLUTION: Please help me add or subtract: {{{3/5}}}{{{sqrt(24)}}}+{{{2/5}}}{{{sqrt(150)}}}-{{{sqrt(96)}}} Thank you.      Log On


   

Question 210782This question is from textbook Intoductery Algebra
: Please help me add or subtract:
3%2F5sqrt%2824%29+2%2F5sqrt%28150%29-sqrt%2896%29
Thank you. This question is from textbook Intoductery Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2F5%29sqrt%2824%29%2B%282%2F5%29sqrt%28150%29-sqrt%2896%29 Factor each of the radicands.
%283%2F5%29sqrt%284%2A6%29%2B%282%2F5%29sqrt%2825%2A6%29-sqrt%2816%2A6%29 Take the square root of the perfect square numbers and move them out from under the radicals.
%283%2F5%29%2A2%2Asqrt%286%29%2B%282%2F5%29%2A5%2Asqrt%286%29-4%2Asqrt%286%29 Simplify.
%286%2F5%29sqrt%286%29%2B2sqrt%286%29-4sqrt%286%29 Factor the sqrt%286%29
sqrt%286%29%28%286%2F5%29%2B2-4%29 Evaluate the parentheses.
highlight%28%28-4%2F5%29sqrt%286%29%29