How to solve 3/(sqrt(3)) - 2/8

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 3/(sqrt(3)) - 2/8 | Equatix

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$$\frac{3}{\sqrt{3}}-\frac{2}{8}$$

$\sqrt{3}-\frac{1}{4}\approx 1.482050808$

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

$$\frac{3\sqrt{3}}{\left(\sqrt{3}\right)^{2}}-\frac{2}{8}$$

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

$$\frac{3\sqrt{3}}{3}-\frac{2}{8}$$

Cancel out $3$ and $3$.

$$\sqrt{3}-\frac{2}{8}$$

Reduce the fraction $\frac{2}{8}$ to lowest terms by extracting and canceling out $2$.

$$\sqrt{3}-\frac{1}{4}$$

$\frac{4 \sqrt{3} - 1}{4} = 1.4820508075688772$