Solve sqrt{12*50*2/147}

$$\sqrt{ \frac{ 12 \times 50 \times 2 }{ 147 } }$$

Evaluate

$$\frac{20}{7}\approx 2.857142857$$

Solution Steps

Multiply 12 and 50 to get 600.

$$\sqrt{\frac{600\times 2}{147}}$$

Multiply 600 and 2 to get 1200.

$$\sqrt{\frac{1200}{147}}$$

Reduce the fraction \frac{1200}{147} to lowest terms by extracting and canceling out 3.

$$\sqrt{\frac{400}{49}}$$

Rewrite the square root of the division \frac{400}{49} as the division of square roots \frac{\sqrt{400}}{\sqrt{49}}. Take the square root of both numerator and denominator.

$$\frac{20}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{7} = 2\frac{6}{7} = 2.857142857142857$$