Solve x2/sqrt{2}=24/sqrt{2}

$$\frac { x 2 } { \sqrt { 2 } } = \frac { 24 } { \sqrt { 2 } }$$

Solve for x_2

$$x_{2}=24$$

Steps for Solving Linear Equation

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

$$\frac{x_{2}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}=\frac{24}{\sqrt{2}}$$

The square of \sqrt{2} is 2.

$$\frac{x_{2}\sqrt{2}}{2}=\frac{24}{\sqrt{2}}$$

Rationalize the denominator of \frac{24}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$\frac{x_{2}\sqrt{2}}{2}=\frac{24\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$\frac{x_{2}\sqrt{2}}{2}=\frac{24\sqrt{2}}{2}$$

Divide 24\sqrt{2} by 2 to get 12\sqrt{2}.

$$\frac{x_{2}\sqrt{2}}{2}=12\sqrt{2}$$

Multiply both sides of the equation by 2.

$$x_{2}\sqrt{2}=24\sqrt{2}$$

The equation is in standard form.

$$\sqrt{2}x_{2}=24\sqrt{2}$$

Divide both sides by \sqrt{2}.

$$\frac{\sqrt{2}x_{2}}{\sqrt{2}}=\frac{24\sqrt{2}}{\sqrt{2}}$$

Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.

$$x_{2}=\frac{24\sqrt{2}}{\sqrt{2}}$$

Divide 24\sqrt{2} by \sqrt{2}.

$$x_{2}=24$$