SOLUTION: Simplify the following radical: {{{3sqrt(8x^2y^3)}}}+ {{{2x*sqrt(32y^3)}}}

Algebra ->  Radicals -> SOLUTION: Simplify the following radical: {{{3sqrt(8x^2y^3)}}}+ {{{2x*sqrt(32y^3)}}}      Log On


   



Question 100995: Simplify the following radical: 3sqrt%288x%5E2y%5E3%29+ 2x%2Asqrt%2832y%5E3%29
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
by factoring the values under the radical signs, you make perfect squares that can be extracted

3sqrt%282%2A4x%5E2%2Ay%2Ay%5E2%29%2B2x%2Asqrt%282%2A16%2Ay%2Ay%5E2%29

3%2A2xy%2Asqrt%282y%29%2B2x%2A4y%2Asqrt%282y%29 ... 6xy%2Asqrt%282y%29%2B8xy%2Asqrt%282y%29

14xy%2Asqrt%282y%29