Solve 2.7=k/sqrt{13.1}

$$2.7 = \frac { k } { \sqrt { 13.1 } }$$

Solve for k

$$k = \frac{27 \sqrt{1310}}{100} \approx 9.772358978$$

Steps for Solving Linear Equation

Rationalize the denominator of \frac{k}{\sqrt{13.1}} by multiplying numerator and denominator by \sqrt{13.1}.

$$2.7=\frac{k\sqrt{13.1}}{\left(\sqrt{13.1}\right)^{2}}$$

The square of \sqrt{13.1} is 13.1.

$$2.7=\frac{k\sqrt{13.1}}{13.1}$$

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

$$\frac{k\sqrt{13.1}}{13.1}=2.7$$

Multiply both sides by 13.1.

$$k\sqrt{13.1}=2.7\times 13.1$$

Multiply 2.7 and 13.1 to get 35.37.

$$k\sqrt{13.1}=35.37$$

The equation is in standard form.

$$\sqrt{13.1}k=35.37$$

Divide both sides by \sqrt{13.1}.

$$\frac{\sqrt{13.1}k}{\sqrt{13.1}}=\frac{35.37}{\sqrt{13.1}}$$

Dividing by \sqrt{13.1} undoes the multiplication by \sqrt{13.1}.

$$k=\frac{35.37}{\sqrt{13.1}}$$

Divide 35.37 by \sqrt{13.1}.

$$k=\frac{27\sqrt{1310}}{100}$$