Solve 1000sqrt{2}*frac{sqrt{3}}{2}

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

Evaluate

$$500\sqrt{6}\approx 1224.744871392$$

Solution Steps

Cancel out 2, the greatest common factor in 1000 and 2.

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

To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.

$$500\sqrt{6}$$