Solve frac{sqrt[3]{2}}{R}=230^2/529

$$\frac { \sqrt[ 3 ] { 2 } } { R } = \frac { 230 ^ { 2 } } { 529 }$$

Solve for R

$$R=\frac{\sqrt[3]{2}}{100}\approx 0.01259921$$

Steps for Solving Linear Equation

Variable R cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 529R, the least common multiple of R,529.

$$529\sqrt[3]{2}=R\times 230^{2}$$

Calculate 230 to the power of 2 and get 52900.

$$529\sqrt[3]{2}=R\times 52900$$

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

$$R\times 52900=529\sqrt[3]{2}$$

The equation is in standard form.

$$52900R=529\sqrt[3]{2}$$

Divide both sides by 52900.

$$\frac{52900R}{52900}=\frac{529\sqrt[3]{2}}{52900}$$

Dividing by 52900 undoes the multiplication by 52900.

$$R=\frac{529\sqrt[3]{2}}{52900}$$

Divide 529\sqrt[3]{2} by 52900.

$$R=\frac{\sqrt[3]{2}}{100}$$