SOLUTION: Simplify the expression \frac{3}{\sqrt{2}} * \frac{1}{\sqrt{8}} * \frac{6}{\sqrt{32}}.

Algebra ->  Radicals -> SOLUTION: Simplify the expression \frac{3}{\sqrt{2}} * \frac{1}{\sqrt{8}} * \frac{6}{\sqrt{32}}.      Log On


   



Question 1209124: Simplify the expression
\frac{3}{\sqrt{2}} * \frac{1}{\sqrt{8}} * \frac{6}{\sqrt{32}}.

Answer by mccravyedwin(407) About Me  (Show Source):
You can put this solution on YOUR website!
That notation, which is incompatible with this site, means:



Prime-factor the numbers under the radicals:

%22%22=%22%22

%283%2A1%2A6%5E%22%22%29%2Fsqrt%282%5E%22%22%2A2%5E3%2A2%5E5%29%22%22=%22%2218%5E%22%22%2Fsqrt%282%2A2%5E8%29%22%22=%22%2218%5E%22%22%2F%282%5E4%2Asqrt%282%5E%22%22%29%29%22%22=%22%2218%5E%22%22%2F%2816%2Asqrt%282%5E%22%22%29%29%22%22=%22%229%5E%22%22%2F%288%2Asqrt%282%5E%22%22%29%29%22%22=%22%22%22%22=%22%22%289%2Asqrt%282%5E%22%22%29%29%2F%288%2A2%5E%22%22%29%22%22=%22%229%2Asqrt%282%5E%22%22%29%2F16

Edwin