Solve sqrt{2(25000)(50)/(200)(.20)}

$$\sqrt{ \frac{ 2(25000)(50) }{ (200)(.20) } }$$

Evaluate

$$250$$

Solution Steps

Cancel out 2\times 100 in both numerator and denominator.

$$\sqrt{\frac{50\times 250}{0.2}}$$

Multiply 50 and 250 to get 12500.

$$\sqrt{\frac{12500}{0.2}}$$

Expand \frac{12500}{0.2} by multiplying both numerator and the denominator by 10.

$$\sqrt{\frac{125000}{2}}$$

Divide 125000 by 2 to get 62500.

$$\sqrt{62500}$$

Calculate the square root of 62500 and get 250.

$$250$$

Factor

$$2\times 5^{3}$$