Solve 2=2*314sqrt{l/10}

$$2 = 2 \times 314 \sqrt { \frac { l } { 10 } }$$

Solve for l

$$l=\frac{5}{49298}\approx 0.000101424$$

Steps for Solving Radical Equations

Multiply 2 and 314 to get 628.

$$2=628\sqrt{\frac{l}{10}}$$

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

$$628\sqrt{\frac{l}{10}}=2$$

Divide both sides by 628.

$$\sqrt{\frac{l}{10}}=\frac{2}{628}$$

Reduce the fraction \frac{2}{628} to lowest terms by extracting and canceling out 2.

$$\sqrt{\frac{l}{10}}=\frac{1}{314}$$

Square both sides of the equation.

$$\frac{1}{10}l=\frac{1}{98596}$$

Multiply both sides by 10.

$$\frac{\frac{1}{10}l}{\frac{1}{10}}=\frac{\frac{1}{98596}}{\frac{1}{10}}$$

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

$$l=\frac{\frac{1}{98596}}{\frac{1}{10}}$$

Divide \frac{1}{98596} by \frac{1}{10} by multiplying \frac{1}{98596} by the reciprocal of \frac{1}{10}.

$$l=\frac{5}{49298}$$