Solve sqrt{|-49/144|}

$$\sqrt { | - \frac { 49 } { 144 } | }$$

Evaluate

$$\frac{7}{12}\approx 0.583333333$$

Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{49}{144} is \frac{49}{144}.

$$\sqrt{\frac{49}{144}}$$

Rewrite the square root of the division \frac{49}{144} as the division of square roots \frac{\sqrt{49}}{\sqrt{144}}. Take the square root of both numerator and denominator.

$$\frac{7}{12}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 3} = 0.5833333333333334$$