Solve 1=2pisqrt{x/9.81}

$$1 = 2 \pi \sqrt{ \frac{ x }{ 9.81 } }$$

Solve for x

$$x=\frac{981}{400\pi ^{2}}\approx 0.248490203$$

Steps for Solving Radical Equations

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

$$2\pi \sqrt{\frac{x}{9.81}}=1$$

Divide both sides by 2\pi .

$$\frac{2\pi \sqrt{\frac{100}{981}x}}{2\pi }=\frac{1}{2\pi }$$

Dividing by 2\pi undoes the multiplication by 2\pi .

$$\sqrt{\frac{100}{981}x}=\frac{1}{2\pi }$$

Square both sides of the equation.

$$\frac{100}{981}x=\frac{1}{4\pi ^{2}}$$

Divide both sides of the equation by \frac{100}{981}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{100}{981}x}{\frac{100}{981}}=\frac{1}{\frac{100}{981}\times 4\pi ^{2}}$$

Dividing by \frac{100}{981} undoes the multiplication by \frac{100}{981}.

$$x=\frac{1}{\frac{100}{981}\times 4\pi ^{2}}$$

Divide \frac{1}{4\pi ^{2}} by \frac{100}{981} by multiplying \frac{1}{4\pi ^{2}} by the reciprocal of \frac{100}{981}.

$$x=\frac{981}{400\pi ^{2}}$$