SOLUTION: Simplify the expression. Assume that all variables are positive √x/5*√x/20

Algebra ->  Radicals -> SOLUTION: Simplify the expression. Assume that all variables are positive √x/5*√x/20      Log On


   



Question 787079: Simplify the expression. Assume that all variables are positive
√x/5*√x/20

Found 2 solutions by xinxin, MathTherapy:
Answer by xinxin(76) About Me  (Show Source):
You can put this solution on YOUR website!
√x/5*√x/20 = (√x)^2*√(5*20) = x* 10 = 10x

Answer by MathTherapy(10719) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify the expression.  Assume that all variables are positive

√x/5*√x/20

If %28sqrt%28x%29%2F5%29+%2A+%28sqrt%28x%29%2F20%29, then the answer is NOT 10x, as stated by the other person who responded.
%28sqrt%28x%29%2F5%29+%2A+%28sqrt%28x%29%2F20%29 = %28sqrt%28x%29+%2A+sqrt%28x%29%29%2F%285+%2A+20%29 = sqrt%28x+%2A+x%29%2F100 = sqrt%28x%5E2%29%2F100%29 = highlight%28x%2F100%29