Question

How do you simplify `sqrt(x^9)`?

Answer 1

I found: `x^4sqrt(x)`

Explanation:

Consider that:
`x^a*x^b=x^(a+b`
so you can write:
`sqrt(x^9)=sqrt(x^2*x^2*x^2*x^2*x)=`
`=sqrt(x^2)*sqrt(x^2)*sqrt(x^2)*sqrt(x^2)*sqrt(x)=`
knowing that `sqrt(x^2)=x`
you have: `=x*x*x*xsqrt(x)=x^4sqrt(x)`