Rewrite the equation as .

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

Apply the product rule to .

Multiply .

Combine and .

Combine and .

Move to the left of .

Use the power rule to distribute the exponent.

Apply the product rule to .

Apply the product rule to .

Apply the product rule to .

Simplify the numerator.

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify.

Simplify the denominator.

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify.

Multiply each term by and simplify.

Multiply each term in by .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Rewrite the equation as .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Solve for G t=2pi square root of L/G