How do you simplify $sqrt(220x^3)/sqrt(5x)$ ?

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Answer 1 · 2015-07-21T16:20:35

$=(2sqrt55x)/sqrt5$

$sqrt(220x^3)/(sqrt(5x$

$sqrt(220) = sqrt(2*2*11*5)$

$=sqrt(2^2*11*5)$

$=2sqrt55$

The expression can be re written as:

$sqrt(220x^3)/(sqrt(5x$ $=$ $(2sqrt55 * x^(3/2))/(sqrt5*x^(1/2)$

$=(2sqrt55 *x^color(blue)((3/2-1/2)))/sqrt5$

$=(2sqrt55x)/sqrt5$

How do you simplify sqrt(220x^3)/sqrt(5x)sqrt(220x^3)/sqrt(5x)?