Solve sqrt{187.1^2/198.5^2}

$$\sqrt { \frac { 187.1 ^ { 2 } } { 198.5 ^ { 2 } } }$$

Evaluate

$$\frac{1871}{1985}\approx 0.94256927$$

Solution Steps

Calculate 187.1 to the power of 2 and get 35006.41.

$$\sqrt{\frac{35006.41}{198.5^{2}}}$$

Calculate 198.5 to the power of 2 and get 39402.25.

$$\sqrt{\frac{35006.41}{39402.25}}$$

Expand \frac{35006.41}{39402.25} by multiplying both numerator and the denominator by 100.

$$\sqrt{\frac{3500641}{3940225}}$$

Rewrite the square root of the division \frac{3500641}{3940225} as the division of square roots \frac{\sqrt{3500641}}{\sqrt{3940225}}. Take the square root of both numerator and denominator.

$$\frac{1871}{1985}$$

Factor

$$\frac{1871}{5 \cdot 397} = 0.9425692695214106$$