Solve sqrt{2*2400*400/50*0.24}

$$\sqrt{ \frac{ 2 \times 2400 \times 400 }{ 50 \times 0.24 } }$$

Evaluate

$$400$$

Solution Steps

Cancel out 2\times 25 in both numerator and denominator.

$$\sqrt{\frac{96\times 400}{0.24}}$$

Multiply 96 and 400 to get 38400.

$$\sqrt{\frac{38400}{0.24}}$$

Expand \frac{38400}{0.24} by multiplying both numerator and the denominator by 100.

$$\sqrt{\frac{3840000}{24}}$$

Divide 3840000 by 24 to get 160000.

$$\sqrt{160000}$$

Calculate the square root of 160000 and get 400.

$$400$$

Factor

$$2^{4}\times 5^{2}$$