Solve 0=2-sqrt{x+1}

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

Solve for x

$$x=3$$

Steps for Solving Radical Equations

Swap sides so that all variable terms are on the left hand side.

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

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

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

Divide both sides by -1.

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

Fraction \frac{-2}{-1} can be simplified to 2 by removing the negative sign from both the numerator and the denominator.

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

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.

$$x=3$$