Solve 1828=x/{3567^frac{1{2}}}

$$1828 = \frac{ x }{ { 3567 }^{ \frac{ 1 }{ 2 } } }$$

Solve for x

$$x=1828\sqrt{3567}\approx 109176.142668625$$

Steps for Solving Linear Equation

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

$$\frac{x}{3567^{\frac{1}{2}}}=1828$$

Reorder the terms.

$$\frac{x}{\sqrt{3567}}=1828$$

Rationalize the denominator of \frac{x}{\sqrt{3567}} by multiplying numerator and denominator by \sqrt{3567}.

$$\frac{x\sqrt{3567}}{\left(\sqrt{3567}\right)^{2}}=1828$$

The square of \sqrt{3567} is 3567.

$$\frac{x\sqrt{3567}}{3567}=1828$$

Multiply both sides by 3567.

$$x\sqrt{3567}=1828\times 3567$$

Multiply 1828 and 3567 to get 6520476.

$$x\sqrt{3567}=6520476$$

The equation is in standard form.

$$\sqrt{3567}x=6520476$$

Divide both sides by \sqrt{3567}.

$$\frac{\sqrt{3567}x}{\sqrt{3567}}=\frac{6520476}{\sqrt{3567}}$$

Dividing by \sqrt{3567} undoes the multiplication by \sqrt{3567}.

$$x=\frac{6520476}{\sqrt{3567}}$$

Divide 6520476 by \sqrt{3567}.

$$x=1828\sqrt{3567}$$