SOLUTION: simplify by combining like terms x*sqrt(18)-3*sqrt(8x^2) Please show your work

Algebra ->  Square-cubic-other-roots -> SOLUTION: simplify by combining like terms x*sqrt(18)-3*sqrt(8x^2) Please show your work      Log On


   

Question 73504: simplify by combining like terms
x*sqrt(18)-3*sqrt(8x^2)

Please show your work
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2Asqrt%2818%29-3%2Asqrt%288x%5E2%29
x%2Asqrt%282%2A9%29-3%2Asqrt%282%2A4%2Ax%5E2%29Rewrite terms inside square root
x%2Asqrt%282%29%2Asqrt%289%29-3%2Asqrt%282%29%2Asqrt%284%29%2Asqrt%28x%5E2%29Rewrite roots using sqrt%28xy%29=sqrt%28x%29sqrt%28y%29
x%2Asqrt%282%29%2A3-3%2Asqrt%282%29%2A3%2AxNotice how we have a common term of sqrt%282%29
3x%2Asqrt%282%29-9x%2Asqrt%282%29combine these terms
%283x-9x%29%2Asqrt%282%29Simplify
-6x%2Asqrt%282%29