Question

How do you simplify `sqrt(5x - 3)^2`?

Answer 1

`(sqrt(5x-3))^2 = 5x-3`

Explanation:

Squaring a positive value and taking the (positive) square root are inverse operations.

Note however that
`color(white)("XXXX")` `sqrt((5x-3)^2)` is not necessarily equal to `(5x-3)`

`color(white)("XXXX")` `sqrt((5x-3)^2) = abs(5x-3)`

One other possibility that might have been intended is
`color(white)("XXXX")` `sqrt(5x-(3^2))`
but this has no interesting simplifications other than
`color(white)("XXXX")` `sqrt(5x-9)`