How do you simplify $sqrt(10x)*sqrt(5x^3)$ ?

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Answer 1 · 2015-07-09T07:00:07

$=color(blue)(5x^2sqrt(2 )$

$sqrt(10x) * sqrt(5x^3)$

$=sqrt(10x * 5x^3$
$=sqrt(50 * x^4$

$=sqrt(color(blue)((5 * 5)) * 2 * color(blue)((x^2 * x^2)$

$=color(blue)(5x^2sqrt(2 )$

How do you simplify sqrt(10x)*sqrt(5x^3)sqrt(10x)*sqrt(5x^3)?