SOLUTION: Simplify as much as possible. 4v sqrt(20vx^2) + x sqrt(80v^3) Assume that all variables represent positive real numbers.

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simplify as much as possible. 4v sqrt(20vx^2) + x sqrt(80v^3) Assume that all variables represent positive real numbers.      Log On


   

Question 969430: Simplify as much as possible.
4v sqrt(20vx^2) + x sqrt(80v^3)
Assume that all variables represent positive real numbers.
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
4%2Av%2Asqrt%2820vx%5E2%29+%2B+x%2Asqrt%2880v%5E3%29
I suggest multiplying everything in the sqrt out.
4%2Av%2Asqrt%282%2A2%2A5%2Av%2Ax%2Ax%29%2Bx%2Asqrt%282%2A2%2A2%2A2%2A5%2Av%2Av%2Av%29

any doubles you see in the sqrt, cross them out and take the sqrt of those numbers 4%2Av%2A2%2Ax%2Asqrt%285%2Av%29%2Bx%2A2%2A2%2Av%2Asqrt%285%2Av%29
simplify
8vx%2Asqrt%285v%29%2B4vx%2Asqrt%285v%29
when a sort has the same value inside of it, it is treated like a variable. you can add and subtract them.
12vx%2Asqrt%285v%29
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If you have any questions, email me at ericahigley@yahoo.com.