SOLUTION: Simplify and combine like terms: {{{x*sqrt(18)}}}-{{{3sqrt(8x^2)}}} Please help with this problem, I am having trouble figuring out these square roots for some reason. Thanks

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simplify and combine like terms: {{{x*sqrt(18)}}}-{{{3sqrt(8x^2)}}} Please help with this problem, I am having trouble figuring out these square roots for some reason. Thanks       Log On


   

Question 74300This question is from textbook Beginning Algebra
: Simplify and combine like terms:
x%2Asqrt%2818%29-3sqrt%288x%5E2%29
Please help with this problem, I am having trouble figuring out these square roots for some reason. Thanks
This question is from textbook Beginning Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2Asqrt%2818%29-3sqrt%288x%5E2%29
x%2Asqrt%289%2A2%29-3sqrt%284%2A2%2Ax%5E2%29
x%2Asqrt%289%29%2Asqrt%282%29-3sqrt%284%29%2Asqrt%282%29%2Asqrt%28x%5E2%29rewrite using identity sqrt%28xy%29=sqrt%28x%29%2Asqrt%28y%29
x%2A3%2Asqrt%282%29-3%2A2%2Asqrt%282%29%2Ax
3x%2Asqrt%282%29-6x%2Asqrt%282%29Notice how we have a common term of sqrt%282%29 add these like terms
%283x-6x%29%2Asqrt%282%29
-3x%2Asqrt%282%29There's the simplified form