Solve frac{sqrt{5^2/7^2}}{5*3204}

$$\frac { \sqrt { 5 ^ { 2 } / 7 ^ { 2 } } } { 5 * 3204 }$$

Evaluate

$$\frac{1}{22428}\approx 0.000044587$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{\sqrt{\frac{25}{7^{2}}}}{5\times 3204}$$

Calculate 7 to the power of 2 and get 49.

$$\frac{\sqrt{\frac{25}{49}}}{5\times 3204}$$

Rewrite the square root of the division \frac{25}{49} as the division of square roots \frac{\sqrt{25}}{\sqrt{49}}. Take the square root of both numerator and denominator.

$$\frac{\frac{5}{7}}{5\times 3204}$$

Multiply 5 and 3204 to get 16020.

$$\frac{\frac{5}{7}}{16020}$$

Express \frac{\frac{5}{7}}{16020} as a single fraction.

$$\frac{5}{7\times 16020}$$

Multiply 7 and 16020 to get 112140.

$$\frac{5}{112140}$$

Reduce the fraction \frac{5}{112140} to lowest terms by extracting and canceling out 5.

$$\frac{1}{22428}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3 ^ {2} \cdot 7 \cdot 89} = 4.458712323880863 \times 10^{-5}$$