Solve 1/2sqrt{7}*(-frac{sqrt{7}}{2})

$$\frac{ 1 }{ 2 } \sqrt{ 7 } \times (- \frac{ \sqrt{ 7 } }{ 2 } )$$

Evaluate

$$-\frac{7}{4}=-1.75$$

Solution Steps

Multiply \frac{1}{2} times -\frac{\sqrt{7}}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\sqrt{7}}{2\times 2}\sqrt{7}$$

Multiply 2 and 2 to get 4.

$$\frac{-\sqrt{7}}{4}\sqrt{7}$$

Express \frac{-\sqrt{7}}{4}\sqrt{7} as a single fraction.

$$\frac{-\sqrt{7}\sqrt{7}}{4}$$

Multiply \sqrt{7} and \sqrt{7} to get 7.

$$\frac{-7}{4}$$

Fraction \frac{-7}{4} can be rewritten as -\frac{7}{4} by extracting the negative sign.

$$-\frac{7}{4}$$

Factor

$$-\frac{7}{4} = -1\frac{3}{4} = -1.75$$