Solve EOQ=sqrt{2*6750*20/12*26}

$$E O Q = \sqrt { \frac { 2 \times 6750 \times 20 } { 12 \times 26 } }$$

Solve for E

$$E=\frac{75\sqrt{26}}{13OQ}$$

$$Q\neq 0\text{ and }O\neq 0$$

Steps for Solving Linear Equation

Cancel out 2\times 2\times 6 in both numerator and denominator.

$$EOQ=\sqrt{\frac{10\times 1125}{13}}$$

Multiply 10 and 1125 to get 11250.

$$EOQ=\sqrt{\frac{11250}{13}}$$

Rewrite the square root of the division \sqrt{\frac{11250}{13}} as the division of square roots \frac{\sqrt{11250}}{\sqrt{13}}.

$$EOQ=\frac{\sqrt{11250}}{\sqrt{13}}$$

Factor 11250=75^{2}\times 2. Rewrite the square root of the product \sqrt{75^{2}\times 2} as the product of square roots \sqrt{75^{2}}\sqrt{2}. Take the square root of 75^{2}.

$$EOQ=\frac{75\sqrt{2}}{\sqrt{13}}$$

Rationalize the denominator of \frac{75\sqrt{2}}{\sqrt{13}} by multiplying numerator and denominator by \sqrt{13}.

$$EOQ=\frac{75\sqrt{2}\sqrt{13}}{\left(\sqrt{13}\right)^{2}}$$

The square of \sqrt{13} is 13.

$$EOQ=\frac{75\sqrt{2}\sqrt{13}}{13}$$

To multiply \sqrt{2} and \sqrt{13}, multiply the numbers under the square root.

$$EOQ=\frac{75\sqrt{26}}{13}$$

Multiply both sides of the equation by 13.

$$13EOQ=75\sqrt{26}$$

The equation is in standard form.

$$13OQE=75\sqrt{26}$$

Divide both sides by 13OQ.

$$\frac{13OQE}{13OQ}=\frac{75\sqrt{26}}{13OQ}$$

Dividing by 13OQ undoes the multiplication by 13OQ.

$$E=\frac{75\sqrt{26}}{13OQ}$$

Solve for O

$$O=\frac{75\sqrt{26}}{13EQ}$$

$$Q\neq 0\text{ and }E\neq 0$$

Steps for Solving Linear Equation

Cancel out 2\times 2\times 6 in both numerator and denominator.

$$EOQ=\sqrt{\frac{10\times 1125}{13}}$$

Multiply 10 and 1125 to get 11250.

$$EOQ=\sqrt{\frac{11250}{13}}$$

Rewrite the square root of the division \sqrt{\frac{11250}{13}} as the division of square roots \frac{\sqrt{11250}}{\sqrt{13}}.

$$EOQ=\frac{\sqrt{11250}}{\sqrt{13}}$$

Factor 11250=75^{2}\times 2. Rewrite the square root of the product \sqrt{75^{2}\times 2} as the product of square roots \sqrt{75^{2}}\sqrt{2}. Take the square root of 75^{2}.

$$EOQ=\frac{75\sqrt{2}}{\sqrt{13}}$$

Rationalize the denominator of \frac{75\sqrt{2}}{\sqrt{13}} by multiplying numerator and denominator by \sqrt{13}.

$$EOQ=\frac{75\sqrt{2}\sqrt{13}}{\left(\sqrt{13}\right)^{2}}$$

The square of \sqrt{13} is 13.

$$EOQ=\frac{75\sqrt{2}\sqrt{13}}{13}$$

To multiply \sqrt{2} and \sqrt{13}, multiply the numbers under the square root.

$$EOQ=\frac{75\sqrt{26}}{13}$$

Multiply both sides of the equation by 13.

$$13EOQ=75\sqrt{26}$$

The equation is in standard form.

$$13EQO=75\sqrt{26}$$

Divide both sides by 13EQ.

$$\frac{13EQO}{13EQ}=\frac{75\sqrt{26}}{13EQ}$$

Dividing by 13EQ undoes the multiplication by 13EQ.

$$O=\frac{75\sqrt{26}}{13EQ}$$