Solve -5/2sqrt{2}*4sqrt{3}

$$- \frac{ 5 }{ 2 } \sqrt{ 2 } \times 4 \sqrt{ 3 }$$

Evaluate

$$-10\sqrt{6}\approx -24.494897428$$

Solution Steps

Express 4\left(-\frac{5}{2}\right) as a single fraction.

$$\frac{4\left(-5\right)}{2}\sqrt{2}\sqrt{3}$$

Multiply 4 and -5 to get -20.

$$\frac{-20}{2}\sqrt{2}\sqrt{3}$$

Divide -20 by 2 to get -10.

$$-10\sqrt{2}\sqrt{3}$$

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

$$-10\sqrt{6}$$