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

Rewrite the equation as .
To remove the radical on the left side of the equation, square both sides of the equation.
Simplify each side of the equation.
Simplify the left side of the equation.
Raise to the power of .
Solve for .
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