Solve frac{sqrt[3]{sqrt{66^2sqrt{5}}}}{x}=5.21

$$\frac{ \sqrt[ 3 ]{ \sqrt{ { 66 }^{ 2 } \sqrt{ 5 } } } }{ x } = 5.21$$

Solve for x (complex solution)

$$x=\frac{100\sqrt[3]{66}\sqrt[12]{5}}{521}\approx 0.887001639$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$\sqrt[3]{\sqrt{66^{2}\sqrt{5}}}=5.21x$$

Calculate 66 to the power of 2 and get 4356.

$$\sqrt[3]{\sqrt{4356\sqrt{5}}}=5.21x$$

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

$$5.21x=\sqrt[3]{\sqrt{4356\sqrt{5}}}$$

Divide both sides of the equation by 5.21, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{5.21x}{5.21}=\frac{\sqrt[3]{66}\sqrt[12]{5}}{5.21}$$

Dividing by 5.21 undoes the multiplication by 5.21.

$$x=\frac{\sqrt[3]{66}\sqrt[12]{5}}{5.21}$$

Divide \sqrt[3]{66}\sqrt[12]{5} by 5.21 by multiplying \sqrt[3]{66}\sqrt[12]{5} by the reciprocal of 5.21.

$$x=\frac{100\sqrt[3]{66}\sqrt[12]{5}}{521}$$

Solve for x

$$x=\frac{100\sqrt[12]{94873680}}{521}\approx 0.887001639$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$\sqrt[3]{\sqrt{66^{2}\sqrt{5}}}=5.21x$$

Calculate 66 to the power of 2 and get 4356.

$$\sqrt[3]{\sqrt{4356\sqrt{5}}}=5.21x$$

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

$$5.21x=\sqrt[3]{\sqrt{4356\sqrt{5}}}$$

Divide both sides of the equation by 5.21, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{5.21x}{5.21}=\frac{\sqrt[3]{66}\sqrt[12]{5}}{5.21}$$

Dividing by 5.21 undoes the multiplication by 5.21.

$$x=\frac{\sqrt[3]{66}\sqrt[12]{5}}{5.21}$$

Divide \sqrt[3]{66}\sqrt[12]{5} by 5.21 by multiplying \sqrt[3]{66}\sqrt[12]{5} by the reciprocal of 5.21.

$$x=\frac{100\sqrt[3]{66}\sqrt[12]{5}}{521}$$