Solve 5*3sqrt{2}*-frac{sqrt{2}}{2}

$$5 \cdot 3 \sqrt { 2 } \cdot - \frac { \sqrt { 2 } } { 2 }$$

Evaluate

$$-15$$

Solution Steps

Multiply 3 and 5 to get 15.

$$15\sqrt{2}\left(-\frac{\sqrt{2}}{2}\right)$$

Express 15\left(-\frac{\sqrt{2}}{2}\right) as a single fraction.

$$\frac{-15\sqrt{2}}{2}\sqrt{2}$$

Express \frac{-15\sqrt{2}}{2}\sqrt{2} as a single fraction.

$$\frac{-15\sqrt{2}\sqrt{2}}{2}$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$\frac{-15\times 2}{2}$$

Cancel out 2 and 2.

$$-15$$

Factor

$$-15$$