Solve frac{sqrt{x}}{3}+1=5

$$\frac { \sqrt { x } } { 3 } + 1 = 5$$

Solve for x

$$x=144$$

Steps for Solving Radical Equations

Subtract 1 from both sides of the equation.

$$\frac{1}{3}\sqrt{x}+1-1=5-1$$

Subtracting 1 from itself leaves 0.

$$\frac{1}{3}\sqrt{x}=5-1$$

Subtract 1 from 5.

$$\frac{1}{3}\sqrt{x}=4$$

Multiply both sides by 3.

$$\frac{\frac{1}{3}\sqrt{x}}{\frac{1}{3}}=\frac{4}{\frac{1}{3}}$$

Dividing by \frac{1}{3} undoes the multiplication by \frac{1}{3}.

$$\sqrt{x}=\frac{4}{\frac{1}{3}}$$

Divide 4 by \frac{1}{3} by multiplying 4 by the reciprocal of \frac{1}{3}.

$$\sqrt{x}=12$$

Square both sides of the equation.

$$x=144$$