How to solve -9/2sqrt(3/4)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve -9/2sqrt(3/4) | Equatix

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$$-9/2 \sqrt{ 3/4 }$$

$-\frac{9\sqrt{3}}{4}\approx -3.897114317$

Fraction $\frac{-9}{2}$ can be rewritten as $-\frac{9}{2}$ by extracting the negative sign.

$$-\frac{9}{2}\sqrt{\frac{3}{4}}$$

Rewrite the square root of the division $\sqrt{\frac{3}{4}}$ as the division of square roots $\frac{\sqrt{3}}{\sqrt{4}}$.

$$-\frac{9}{2}\times \frac{\sqrt{3}}{\sqrt{4}}$$

Calculate the square root of $4$ and get $2$.

$$-\frac{9}{2}\times \frac{\sqrt{3}}{2}$$

Multiply $-\frac{9}{2}$ times $\frac{\sqrt{3}}{2}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9\sqrt{3}}{2\times 2}$$

Multiply $2$ and $2$ to get $4$.

$$\frac{-9\sqrt{3}}{4}$$