Solve -3/2*sqrt{15/4}

$$- \frac{ 3 }{ 2 } \times \sqrt{ \frac{ 15 }{ 4 } }$$

Evaluate

$$-\frac{3\sqrt{15}}{4}\approx -2.90473751$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{15}{4}} as the division of square roots \frac{\sqrt{15}}{\sqrt{4}}.

$$-\frac{3}{2}\times \frac{\sqrt{15}}{\sqrt{4}}$$

Calculate the square root of 4 and get 2.

$$-\frac{3}{2}\times \frac{\sqrt{15}}{2}$$

Multiply -\frac{3}{2} times \frac{\sqrt{15}}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\sqrt{15}}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{-3\sqrt{15}}{4}$$