Solve sqrt{4/9}-sqrt{1/9}=

$$\sqrt{ \frac{ 4 }{ 9 } } - \sqrt{ \frac{ 1 }{ 9 } } =$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Rewrite the square root of the division \frac{4}{9} as the division of square roots \frac{\sqrt{4}}{\sqrt{9}}. Take the square root of both numerator and denominator.

$$\frac{2}{3}-\sqrt{\frac{1}{9}}$$

Rewrite the square root of the division \frac{1}{9} as the division of square roots \frac{\sqrt{1}}{\sqrt{9}}. Take the square root of both numerator and denominator.

$$\frac{2}{3}-\frac{1}{3}$$

Since \frac{2}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-1}{3}$$

Subtract 1 from 2 to get 1.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$