Solve sqrt{16^2:12^2}

$$\sqrt { 16 ^ { 2 } : 12 ^ { 2 } }$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Calculate 16 to the power of 2 and get 256.

$$\sqrt{\frac{256}{12^{2}}}$$

Calculate 12 to the power of 2 and get 144.

$$\sqrt{\frac{256}{144}}$$

Reduce the fraction \frac{256}{144} to lowest terms by extracting and canceling out 16.

$$\sqrt{\frac{16}{9}}$$

Rewrite the square root of the division \frac{16}{9} as the division of square roots \frac{\sqrt{16}}{\sqrt{9}}. Take the square root of both numerator and denominator.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$