Solve 2=2*3.14sqrt{l/10}

$$2 = 2 \times 3.14 \sqrt { \frac { l } { 10 } }$$

Solve for l

$$l = \frac{25000}{24649} = 1\frac{351}{24649} \approx 1.014239929$$

Steps for Solving Radical Equations

Multiply 2 and 3.14 to get 6.28.

$$2=6.28\sqrt{\frac{l}{10}}$$

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

$$6.28\sqrt{\frac{l}{10}}=2$$

Divide both sides by 6.28.

$$\sqrt{\frac{l}{10}}=\frac{2}{6.28}$$

Expand \frac{2}{6.28} by multiplying both numerator and the denominator by 100.

$$\sqrt{\frac{l}{10}}=\frac{200}{628}$$

Reduce the fraction \frac{200}{628} to lowest terms by extracting and canceling out 4.

$$\sqrt{\frac{l}{10}}=\frac{50}{157}$$

Square both sides of the equation.

$$\frac{1}{10}l=\frac{2500}{24649}$$

Multiply both sides by 10.

$$\frac{\frac{1}{10}l}{\frac{1}{10}}=\frac{\frac{2500}{24649}}{\frac{1}{10}}$$

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

$$l=\frac{\frac{2500}{24649}}{\frac{1}{10}}$$

Divide \frac{2500}{24649} by \frac{1}{10} by multiplying \frac{2500}{24649} by the reciprocal of \frac{1}{10}.

$$l=\frac{25000}{24649}$$