How do you simplify $(3sqrt R )/ (3 sqrtx)$ ?

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Answer 1 · 2015-09-04T12:15:14

$(3sqrt(R))/(3sqrt(x)) = sqrt(R/x)$

$(color(red)(3sqrt(R)))/(color(blue)(3sqrt(x)))$

$= color(red)(3 * sqrt(R)) * color(blue)(1/3 * 1/sqrt(x))$

$= cancel(color(red)(3))*1/cancel(color(blue)(3))*color(red)(sqrt(R))/color(blue)(sqrt(x))$

$= sqrt(color(red)(R)/color(blue)(x)$

How do you simplify (3sqrt R )/ (3 sqrtx)(3sqrt R )/ (3 sqrtx)?