Question

How do you simplify `(4 - sqrt x) / x^(3/2)`?

Answer 1

`(4sqrtx-|x|)/x^2`

Explanation:

`(4-sqrtx)/x^(3/2)=`

`(4-sqrtx)/sqrt(x^3)=`

Multiply by `sqrtx/sqrtx`

`(4-sqrtx)/sqrt(x^3)*sqrtx/sqrtx=`

`(4sqrtx-sqrt(x^2))/sqrt(x^4)=`

`(4sqrtx-|x|)/x^2`