Solve 2/2sqrt{10}=x/6

$$\frac { 2 } { 2 \sqrt { 10 } } = \frac { x } { 6 }$$

Solve for x

$$x = \frac{3 \sqrt{10}}{5} \approx 1.897366596$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$\frac{3}{10}\times 10^{\frac{1}{2}}\times 2=x$$

Express \frac{3}{10}\times 2 as a single fraction.

$$\frac{3\times 2}{10}\times 10^{\frac{1}{2}}=x$$

Multiply 3 and 2 to get 6.

$$\frac{6}{10}\times 10^{\frac{1}{2}}=x$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}\times 10^{\frac{1}{2}}=x$$

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

$$x=\frac{3}{5}\times 10^{\frac{1}{2}}$$

Reorder the terms.

$$x=\frac{3}{5}\sqrt{10}$$