Solve sqrt{197/4-2/8}

$$\sqrt{ \frac{ 197 }{ 4 } - \frac{ 2 }{ 8 } }$$

Evaluate

$$7$$

Solution Steps

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\sqrt{\frac{197}{4}-\frac{1}{4}}$$

Since \frac{197}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\sqrt{\frac{197-1}{4}}$$

Subtract 1 from 197 to get 196.

$$\sqrt{\frac{196}{4}}$$

Divide 196 by 4 to get 49.

$$\sqrt{49}$$

Calculate the square root of 49 and get 7.

$$7$$

Factor

$$7$$