Solve frac{6sqrt{2}}{1/6}=asqrt{5}

$$\frac { 6 \sqrt { 2 } } { 1 / 6 } = a \sqrt { 5 }$$

Solve for a

$$a = \frac{36 \sqrt{10}}{5} \approx 22.768399153$$

Steps for Solving Linear Equation

Divide 6\sqrt{2} by \frac{1}{6} to get 36\sqrt{2}.

$$36\sqrt{2}=a\sqrt{5}$$

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

$$a\sqrt{5}=36\sqrt{2}$$

The equation is in standard form.

$$\sqrt{5}a=36\sqrt{2}$$

Divide both sides by \sqrt{5}.

$$\frac{\sqrt{5}a}{\sqrt{5}}=\frac{36\sqrt{2}}{\sqrt{5}}$$

Dividing by \sqrt{5} undoes the multiplication by \sqrt{5}.

$$a=\frac{36\sqrt{2}}{\sqrt{5}}$$

Divide 36\sqrt{2} by \sqrt{5}.

$$a=\frac{36\sqrt{10}}{5}$$