Solve 0.16=x/2sqrt{273*3.07}

$$0.16= \frac{ x }{ 2 \sqrt{ 273 \times 3.07 } }$$

Solve for x

$$x = \frac{4 \sqrt{83811}}{125} \approx 9.264041451$$

Steps for Solving Linear Equation

Multiply 273 and 3.07 to get 838.11.

$$0.16=\frac{x}{2\sqrt{838.11}}$$

Rationalize the denominator of \frac{x}{2\sqrt{838.11}} by multiplying numerator and denominator by \sqrt{838.11}.

$$0.16=\frac{x\sqrt{838.11}}{2\left(\sqrt{838.11}\right)^{2}}$$

The square of \sqrt{838.11} is 838.11.

$$0.16=\frac{x\sqrt{838.11}}{2\times 838.11}$$

Multiply 2 and 838.11 to get 1676.22.

$$0.16=\frac{x\sqrt{838.11}}{1676.22}$$

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

$$\frac{x\sqrt{838.11}}{1676.22}=0.16$$

Multiply both sides by 1676.22.

$$x\sqrt{838.11}=0.16\times 1676.22$$

Multiply 0.16 and 1676.22 to get 268.1952.

$$x\sqrt{838.11}=268.1952$$

The equation is in standard form.

$$\sqrt{838.11}x=268.1952$$

Divide both sides by \sqrt{838.11}.

$$\frac{\sqrt{838.11}x}{\sqrt{838.11}}=\frac{268.1952}{\sqrt{838.11}}$$

Dividing by \sqrt{838.11} undoes the multiplication by \sqrt{838.11}.

$$x=\frac{268.1952}{\sqrt{838.11}}$$

Divide 268.1952 by \sqrt{838.11}.

$$x=\frac{4\sqrt{83811}}{125}$$