Solve 2-sqrt{x+1}=0

$$2 - \sqrt { x + 1 } = 0$$

Solve for x

$$x=3$$

Steps for Solving Radical Equations

Subtract 2 from both sides of the equation.

$$-\sqrt{x+1}+2-2=-2$$

Subtracting 2 from itself leaves 0.

$$-\sqrt{x+1}=-2$$

Divide both sides by -1.

$$\frac{-\sqrt{x+1}}{-1}=-\frac{2}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$\sqrt{x+1}=-\frac{2}{-1}$$

Divide -2 by -1.

$$\sqrt{x+1}=2$$

Square both sides of the equation.

$$x+1=4$$

Subtract 1 from both sides of the equation.

$$x+1-1=4-1$$

Subtracting 1 from itself leaves 0.

$$x=4-1$$

Subtract 1 from 4.

$$x=3$$