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How do you simplify $sqrt(20n^25)$ ?

1 Answer

Jul 19, 2017

$4n^12sqrt(5n)$

Explanation:

$20=4*5=4^2*5$

$n^25=(n^12)^2*n$

So
$sqrt(20n^25)$
$color(white)("XXX")=sqrt(4^2*5*(n^12)^2*n)$

$color(white)("XXX")=sqrt((4*n^12)^2*(5n))$

$color(white)("XXX")=sqrt((4*n^12)^2)*sqrt(5n)$

$color(white)("XXX")=4n^12sqrt(5n)$

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