Solve sqrt{2(4000*5)/0.16}

$$\sqrt { \frac { 2 ( 4000 \times 5 ) } { 0.16 } }$$

Evaluate

$$500$$

Solution Steps

Multiply 2 and 4000 to get 8000.

$$\sqrt{\frac{8000\times 5}{0.16}}$$

Multiply 8000 and 5 to get 40000.

$$\sqrt{\frac{40000}{0.16}}$$

Expand \frac{40000}{0.16} by multiplying both numerator and the denominator by 100.

$$\sqrt{\frac{4000000}{16}}$$

Divide 4000000 by 16 to get 250000.

$$\sqrt{250000}$$

Calculate the square root of 250000 and get 500.

$$500$$

Factor

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