SOLUTION: Simplify each radical expression. 5sqrt(32)-7sqrt(8) and 2sqrt(15xy^3)*3sqrt(30x^3y^2)

Algebra ->  Radicals -> SOLUTION: Simplify each radical expression. 5sqrt(32)-7sqrt(8) and 2sqrt(15xy^3)*3sqrt(30x^3y^2)      Log On


   

Question 395798: Simplify each radical expression.
5sqrt(32)-7sqrt(8)
and
2sqrt(15xy^3)*3sqrt(30x^3y^2)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

5sqrt%2832%29-7sqrt%288%29

5sqrt%284%2A4%2A2%29-7sqrt%284%2A2%29

5%2A2%2A2sqrt%282%29-7%2A2sqrt%282%29

20sqrt%282%29-14sqrt%282%29

sqrt%282%29+%2820-14%29

6sqrt%282%29+


%282sqrt%2815xy%5E3%29%29%283sqrt%2830x%5E3y%5E2%29%29

2y%5E2sqrt%2815xy%29%2A3x%5E2y%28sqrt%2830x%29%29

6y%5E3x%5E2sqrt%2815xy%29%28sqrt%2830x%29%29.....since sqrt%28a%2Ab%29=sqrt%28a%29%2Asqrt%28b%29, we have

6y%5E3x%5E2sqrt%2815xy%2A30x%29

6y%5E3x%5E2sqrt%2815xy%2A2%2A15x%29

6y%5E3x%5E2sqrt%2815%5E2x%5E2y%2A2%29

6y%5E3x%5E2%2A15%2Ax%28sqrt%28y%2A2%29%29

90y%5E3x%5E3sqrt%28y%2A2%29