Solve s=sqrt{0.021218-(0.252)^2/3/3-1}

$$s = \sqrt { \frac { 0.021218 - ( 0.252 ) ^ { 2 } / 3 } { 3 - 1 } }$$

Solve for s

$$s=0.005$$

Steps for Solving Linear Equation

Calculate 0.252 to the power of 2 and get 0.063504.

$$s=\sqrt{\frac{0.021218-\frac{0.063504}{3}}{3-1}}$$

Expand \frac{0.063504}{3} by multiplying both numerator and the denominator by 1000000.

$$s=\sqrt{\frac{0.021218-\frac{63504}{3000000}}{3-1}}$$

Reduce the fraction \frac{63504}{3000000} to lowest terms by extracting and canceling out 48.

$$s=\sqrt{\frac{0.021218-\frac{1323}{62500}}{3-1}}$$

Convert decimal number 0.021218 to fraction \frac{21218}{1000000}. Reduce the fraction \frac{21218}{1000000} to lowest terms by extracting and canceling out 2.

$$s=\sqrt{\frac{\frac{10609}{500000}-\frac{1323}{62500}}{3-1}}$$

Least common multiple of 500000 and 62500 is 500000. Convert \frac{10609}{500000} and \frac{1323}{62500} to fractions with denominator 500000.

$$s=\sqrt{\frac{\frac{10609}{500000}-\frac{10584}{500000}}{3-1}}$$

Since \frac{10609}{500000} and \frac{10584}{500000} have the same denominator, subtract them by subtracting their numerators.

$$s=\sqrt{\frac{\frac{10609-10584}{500000}}{3-1}}$$

Subtract 10584 from 10609 to get 25.

$$s=\sqrt{\frac{\frac{25}{500000}}{3-1}}$$

Reduce the fraction \frac{25}{500000} to lowest terms by extracting and canceling out 25.

$$s=\sqrt{\frac{\frac{1}{20000}}{3-1}}$$

Subtract 1 from 3 to get 2.

$$s=\sqrt{\frac{\frac{1}{20000}}{2}}$$

Express \frac{\frac{1}{20000}}{2} as a single fraction.

$$s=\sqrt{\frac{1}{20000\times 2}}$$

Multiply 20000 and 2 to get 40000.

$$s=\sqrt{\frac{1}{40000}}$$

Rewrite the square root of the division \frac{1}{40000} as the division of square roots \frac{\sqrt{1}}{\sqrt{40000}}. Take the square root of both numerator and denominator.

$$s=\frac{1}{200}$$

Assign s

$$s≔0.005$$