Solve 33=sqrt{39}*sqrt{x}

$$33= \sqrt{ 39 } \times \sqrt{ x }$$

Solve for x

$$x = \frac{363}{13} = 27\frac{12}{13} \approx 27.923076923$$

Steps for Solving Radical Equations

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

$$\sqrt{39}\sqrt{x}=33$$

Divide both sides by \sqrt{39}.

$$\frac{\sqrt{39}\sqrt{x}}{\sqrt{39}}=\frac{33}{\sqrt{39}}$$

Dividing by \sqrt{39} undoes the multiplication by \sqrt{39}.

$$\sqrt{x}=\frac{33}{\sqrt{39}}$$

Divide 33 by \sqrt{39}.

$$\sqrt{x}=\frac{11\sqrt{39}}{13}$$

Square both sides of the equation.

$$x=\frac{363}{13}$$