Solve 288=frac{sqrt{x}}{9*10^-3/1.1}

$$288 = \frac { \sqrt { x } } { \frac { 9 \times 10 ^ { - 3 } } { 1.1 } }$$

Solve for x

$$x = \frac{419904}{75625} = 5\frac{41779}{75625} \approx 5.552449587$$

Steps for Solving Radical Equations

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$288=\frac{\sqrt{x}}{\frac{9\times \frac{1}{1000}}{1.1}}$$

Multiply 9 and \frac{1}{1000} to get \frac{9}{1000}.

$$288=\frac{\sqrt{x}}{\frac{\frac{9}{1000}}{1.1}}$$

Express \frac{\frac{9}{1000}}{1.1} as a single fraction.

$$288=\frac{\sqrt{x}}{\frac{9}{1000\times 1.1}}$$

Multiply 1000 and 1.1 to get 1100.

$$288=\frac{\sqrt{x}}{\frac{9}{1100}}$$

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

$$\frac{\sqrt{x}}{\frac{9}{1100}}=288$$

Multiply both sides by \frac{9}{1100}.

$$\sqrt{x}=288\times \frac{9}{1100}$$

Multiply 288 and \frac{9}{1100} to get \frac{648}{275}.

$$\sqrt{x}=\frac{648}{275}$$

Square both sides of the equation.

$$x=\frac{419904}{75625}$$