Question

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

Answer 1

I found: `xysqrt(xz)`

Explanation:

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)`