Solve 0.2=2*3.14sqrt{x/10}

$$0.2=2 \times 3.14 \sqrt{ \frac{ x }{ 10 } }$$

Solve for x

$$x=\frac{250}{24649}\approx 0.010142399$$

Steps for Solving Radical Equations

Multiply 2 and 3.14 to get 6.28.

$$0.2=6.28\sqrt{\frac{x}{10}}$$

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

$$6.28\sqrt{\frac{x}{10}}=0.2$$

Divide both sides by 6.28.

$$\sqrt{\frac{x}{10}}=\frac{0.2}{6.28}$$

Expand \frac{0.2}{6.28} by multiplying both numerator and the denominator by 100.

$$\sqrt{\frac{x}{10}}=\frac{20}{628}$$

Reduce the fraction \frac{20}{628} to lowest terms by extracting and canceling out 4.

$$\sqrt{\frac{x}{10}}=\frac{5}{157}$$

Square both sides of the equation.

$$\frac{1}{10}x=\frac{25}{24649}$$

Multiply both sides by 10.

$$\frac{\frac{1}{10}x}{\frac{1}{10}}=\frac{\frac{25}{24649}}{\frac{1}{10}}$$

Dividing by \frac{1}{10} undoes the multiplication by \frac{1}{10}.

$$x=\frac{\frac{25}{24649}}{\frac{1}{10}}$$

Divide \frac{25}{24649} by \frac{1}{10} by multiplying \frac{25}{24649} by the reciprocal of \frac{1}{10}.

$$x=\frac{250}{24649}$$