Solve v/3sqrt{2}=5

$$\frac { v } { 3 \sqrt { 2 } } = 5$$

Solve for v

$$v=15\sqrt{2}\approx 21.213203436$$

Steps for Solving Linear Equation

Rationalize the denominator of \frac{v}{3\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$\frac{v\sqrt{2}}{3\left(\sqrt{2}\right)^{2}}=5$$

The square of \sqrt{2} is 2.

$$\frac{v\sqrt{2}}{3\times 2}=5$$

Multiply 3 and 2 to get 6.

$$\frac{v\sqrt{2}}{6}=5$$

Multiply both sides by 6.

$$v\sqrt{2}=5\times 6$$

Multiply 5 and 6 to get 30.

$$v\sqrt{2}=30$$

The equation is in standard form.

$$\sqrt{2}v=30$$

Divide both sides by \sqrt{2}.

$$\frac{\sqrt{2}v}{\sqrt{2}}=\frac{30}{\sqrt{2}}$$

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

$$v=\frac{30}{\sqrt{2}}$$

Divide 30 by \sqrt{2}.

$$v=15\sqrt{2}$$