How to solve 5/2sqrt(4/3)

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 5/2sqrt(4/3) | Equatix

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$$5/2 \sqrt{ 4/3 }$$

$\frac{5\sqrt{3}}{3}\approx 2.886751346$

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

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

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

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

Rationalize the denominator of $\frac{2}{\sqrt{3}}$ by multiplying numerator and denominator by $\sqrt{3}$.

$$\frac{5}{2}\times \frac{2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of $\sqrt{3}$ is $3$.

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

Multiply $\frac{5}{2}$ times $\frac{2\sqrt{3}}{3}$ by multiplying numerator times numerator and denominator times denominator.

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

Cancel out $2$ in both numerator and denominator.

$$\frac{5\sqrt{3}}{3}$$