Solve 52=2(13)sqrt{x/9.3}

$$52=2(13) \sqrt{ \frac{ x }{ 9.3 } }$$

Solve for x

$$x=37.2$$

Steps for Solving Radical Equations

Multiply 2 and 13 to get 26.

$$52=26\sqrt{\frac{x}{9.3}}$$

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

$$26\sqrt{\frac{x}{9.3}}=52$$

Divide both sides by 26.

$$\sqrt{\frac{x}{9.3}}=\frac{52}{26}$$

Divide 52 by 26 to get 2.

$$\sqrt{\frac{x}{9.3}}=2$$

Square both sides of the equation.

$$\frac{10}{93}x=4$$

Divide both sides of the equation by \frac{10}{93}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{10}{93}x}{\frac{10}{93}}=\frac{4}{\frac{10}{93}}$$

Dividing by \frac{10}{93} undoes the multiplication by \frac{10}{93}.

$$x=\frac{4}{\frac{10}{93}}$$

Divide 4 by \frac{10}{93} by multiplying 4 by the reciprocal of \frac{10}{93}.

$$x=\frac{186}{5}$$