Solve (X/sqrt{15})=1868.9456

$$( \frac { X } { \sqrt { 15 } } ) = 1868.9456$$

Solve for X

$$X = \frac{1168091 \sqrt{15}}{625} \approx 7238.395183768$$

Steps for Solving Linear Equation

Rationalize the denominator of \frac{X}{\sqrt{15}} by multiplying numerator and denominator by \sqrt{15}.

$$\frac{X\sqrt{15}}{\left(\sqrt{15}\right)^{2}}=1868.9456$$

The square of \sqrt{15} is 15.

$$\frac{X\sqrt{15}}{15}=1868.9456$$

Multiply both sides by 15.

$$X\sqrt{15}=1868.9456\times 15$$

Multiply 1868.9456 and 15 to get 28034.184.

$$X\sqrt{15}=28034.184$$

The equation is in standard form.

$$\sqrt{15}X=28034.184$$

Divide both sides by \sqrt{15}.

$$\frac{\sqrt{15}X}{\sqrt{15}}=\frac{28034.184}{\sqrt{15}}$$

Dividing by \sqrt{15} undoes the multiplication by \sqrt{15}.

$$X=\frac{28034.184}{\sqrt{15}}$$

Divide 28034.184 by \sqrt{15}.

$$X=\frac{1168091\sqrt{15}}{625}$$