Rewrite the equation as .

To remove the radical on the left side of the equation, square both sides of the equation.

Simplify the left side of the equation.

Raise to the power of .

Combine and .

Divide each term by and simplify.

Divide each term in by .

Simplify the left side of the equation by cancelling the common factors.

Multiply the numerator by the reciprocal of the denominator.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Factor out of .

Separate fractions.

Divide by .

Divide by .

Simplify .

Simplify the denominator.

Apply the product rule to .

Raise to the power of .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Simplify .

Divide by .

Combine and .

Replace with an approximation.

Raise to the power of .

Divide by .

Solve for L 2=2pi square root of L/9.8