Solve Al=(12sqrt{2}+12)*6sqrt{3}

$$A l = ( 12 \sqrt { 2 } + 12 ) \cdot 6 \sqrt { 3 }$$

Solve for A

$$A=\frac{72\sqrt{3}\left(\sqrt{2}+1\right)}{l}$$

$$l\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 12\sqrt{2}+12.

$$Al=\left(72\sqrt{2}+72\right)\sqrt{3}$$

Use the distributive property to multiply 72\sqrt{2}+72 by \sqrt{3}.

$$Al=72\sqrt{2}\sqrt{3}+72\sqrt{3}$$

To multiply \sqrt{2} and \sqrt{3}, multiply the numbers under the square root.

$$Al=72\sqrt{6}+72\sqrt{3}$$

The equation is in standard form.

$$lA=72\sqrt{3}+72\sqrt{6}$$

Divide both sides by l.

$$\frac{lA}{l}=\frac{72\sqrt{3}+72\sqrt{6}}{l}$$

Dividing by l undoes the multiplication by l.

$$A=\frac{72\sqrt{3}+72\sqrt{6}}{l}$$

Divide 72\sqrt{6}+72\sqrt{3} by l.

$$A=\frac{72\left(\sqrt{3}+\sqrt{6}\right)}{l}$$

Solve for l

$$l=\frac{72\sqrt{3}\left(\sqrt{2}+1\right)}{A}$$

$$A\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 12\sqrt{2}+12.

$$Al=\left(72\sqrt{2}+72\right)\sqrt{3}$$

Use the distributive property to multiply 72\sqrt{2}+72 by \sqrt{3}.

$$Al=72\sqrt{2}\sqrt{3}+72\sqrt{3}$$

To multiply \sqrt{2} and \sqrt{3}, multiply the numbers under the square root.

$$Al=72\sqrt{6}+72\sqrt{3}$$

The equation is in standard form.

$$Al=72\sqrt{3}+72\sqrt{6}$$

Divide both sides by A.

$$\frac{Al}{A}=\frac{72\sqrt{3}+72\sqrt{6}}{A}$$

Dividing by A undoes the multiplication by A.

$$l=\frac{72\sqrt{3}+72\sqrt{6}}{A}$$

Divide 72\sqrt{6}+72\sqrt{3} by A.

$$l=\frac{72\left(\sqrt{3}+\sqrt{6}\right)}{A}$$