How do you simplify $sqrt(x^5y^3z^2)/sqrt(x^2yz)$ ?

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Answer 1 · 2015-09-23T01:00:20

I found: $xysqrt(xz)$

First write a big root as:
$sqrt((x^5y^3z^2)/(x^2yz))=$

then simplify (remembering that $x^a/x^b=x^(a-b)$ ) to get:

$=sqrt(x^(5-2)y^(3-1)z^(2-1))=$

$=sqrt(x^3y^2z)=$ finally the square root:

$=xysqrt(xz)$

How do you simplify sqrt(x^5y^3z^2)/sqrt(x^2yz)sqrt(x^5y^3z^2)/sqrt(x^2yz)?