Solve 5-sqrt{x+3}=3

$$5 - \sqrt { x + 3 } = 3$$

Solve for x

$$x=1$$

Steps for Solving Radical Equations

Subtract 5 from both sides of the equation.

$$-\sqrt{x+3}+5-5=3-5$$

Subtracting 5 from itself leaves 0.

$$-\sqrt{x+3}=3-5$$

Subtract 5 from 3.

$$-\sqrt{x+3}=-2$$

Divide both sides by -1.

$$\frac{-\sqrt{x+3}}{-1}=-\frac{2}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$\sqrt{x+3}=-\frac{2}{-1}$$

Divide -2 by -1.

$$\sqrt{x+3}=2$$

Square both sides of the equation.

$$x+3=4$$

Subtract 3 from both sides of the equation.

$$x+3-3=4-3$$

Subtracting 3 from itself leaves 0.

$$x=4-3$$

Subtract 3 from 4.

$$x=1$$