Solve x/sqrt{2}=51

$$\frac { x } { \sqrt { 2 } } = 51$$

Solve for x

$$x=51\sqrt{2}\approx 72.124891681$$

Steps for Solving Linear Equation

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

$$\frac{x\sqrt{2}}{\left(\sqrt{2}\right)^{2}}=51$$

The square of \sqrt{2} is 2.

$$\frac{x\sqrt{2}}{2}=51$$

Multiply both sides by 2.

$$x\sqrt{2}=51\times 2$$

Multiply 51 and 2 to get 102.

$$x\sqrt{2}=102$$

The equation is in standard form.

$$\sqrt{2}x=102$$

Divide both sides by \sqrt{2}.

$$\frac{\sqrt{2}x}{\sqrt{2}}=\frac{102}{\sqrt{2}}$$

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

$$x=\frac{102}{\sqrt{2}}$$

Divide 102 by \sqrt{2}.

$$x=51\sqrt{2}$$