Solve sqrt{196/576}14/24

$$\sqrt { \frac { 196 } { 576 } } \frac { 14 } { 24 }$$

Evaluate

$$\frac{49}{144}\approx 0.340277778$$

Solution Steps

Reduce the fraction \frac{196}{576} to lowest terms by extracting and canceling out 4.

$$\sqrt{\frac{49}{144}}\times \frac{14}{24}$$

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.

$$\frac{7}{12}\times \frac{14}{24}$$

Reduce the fraction \frac{14}{24} to lowest terms by extracting and canceling out 2.

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

Multiply \frac{7}{12} times \frac{7}{12} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{7\times 7}{12\times 12}.

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

Factor

$$\frac{7 ^ {2}}{2 ^ {4} \cdot 3 ^ {2}} = 0.3402777777777778$$