Question

How do you solve `sqrt(x+4)=0`?

Answer 1

`x=-4`

Explanation:

Square both sides. This will allow us to get rid of the square root while keeping the equation equivalent (we can do anything to an equation so long as we do it to both sides ).

`sqrt(x+4)^2=0^2`

`0^2=0`.

`sqrt(x+4)^2=x+4,` as `sqrt(x)^2=x`. Basically, squaring any square root will cause the root to cancel out.

`x+4=0`

Solve for `x` by subtracting `4` from both sides:

`xcancel(+4-4)=0-4=-4`