Question

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

Answer 1

`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)`