Solve sqrt{0.04*144/0.49*169}

$$\sqrt { \frac { 0.04 \times 144 } { 0.49 \times 169 } }$$

Evaluate

$$\frac{24}{91}\approx 0.263736264$$

Solution Steps

Multiply 0.04 and 144 to get 5.76.

$$\sqrt{\frac{5.76}{0.49\times 169}}$$

Multiply 0.49 and 169 to get 82.81.

$$\sqrt{\frac{5.76}{82.81}}$$

Expand \frac{5.76}{82.81} by multiplying both numerator and the denominator by 100.

$$\sqrt{\frac{576}{8281}}$$

Rewrite the square root of the division \frac{576}{8281} as the division of square roots \frac{\sqrt{576}}{\sqrt{8281}}. Take the square root of both numerator and denominator.

$$\frac{24}{91}$$

Factor

$$\frac{3 \cdot 2 ^ {3}}{7 \cdot 13} = 0.26373626373626374$$