Solve sqrt{16}*3sqrt{8}=2x

$$\sqrt{ 16 } \times 3 \sqrt{ 8 } =2x$$

Solve for x

$$x=12\sqrt{2}\approx 16.970562748$$

Steps for Solving Linear Equation

Factor 16=8\times 2. Rewrite the square root of the product \sqrt{8\times 2} as the product of square roots \sqrt{8}\sqrt{2}.

$$3\sqrt{8}\sqrt{2}\sqrt{8}=2x$$

Multiply \sqrt{8} and \sqrt{8} to get 8.

$$3\times 8\sqrt{2}=2x$$

Multiply 3 and 8 to get 24.

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

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

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

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide 24\sqrt{2} by 2.

$$x=12\sqrt{2}$$