Solve sqrt{7/9}-12

$$\sqrt { \frac { 7 } { 9 } } - 12$$

Evaluate

$$\frac{\sqrt{7}}{3}-12\approx -11.118082896$$

Short Solution Steps

Rewrite the square root of the division \sqrt{\frac{7}{9}} as the division of square roots \frac{\sqrt{7}}{\sqrt{9}}.

$$\frac{\sqrt{7}}{\sqrt{9}}-12$$

Calculate the square root of 9 and get 3.

$$\frac{\sqrt{7}}{3}-12$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 12 times \frac{3}{3}.

$$\frac{\sqrt{7}}{3}-\frac{12\times 3}{3}$$

Since \frac{\sqrt{7}}{3} and \frac{12\times 3}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\sqrt{7}-12\times 3}{3}$$

Do the multiplications in \sqrt{7}-12\times 3.

$$\frac{\sqrt{7}-36}{3}$$