Solve frac{3sqrt{8}}{1000}

$$\frac{ 3 \sqrt{ 8 } }{ 1000 }$$

Evaluate

$$\frac{3\sqrt{2}}{500}\approx 0.008485281$$

Solution Steps

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$\frac{3\times 2\sqrt{2}}{1000}$$

Multiply 3 and 2 to get 6.

$$\frac{6\sqrt{2}}{1000}$$

Divide 6\sqrt{2} by 1000 to get \frac{3}{500}\sqrt{2}.

$$\frac{3}{500}\sqrt{2}$$