How to solve 229sqrt((2)/(6))

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 229sqrt((2)/(6)) | Equatix

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$$229 \sqrt{ \frac{ 2 }{ 6 } }$$

$\frac{229\sqrt{3}}{3}\approx 132.213211644$

Reduce the fraction $\frac{2}{6}$ to lowest terms by extracting and canceling out $2$.

$$229\sqrt{\frac{1}{3}}$$

Rewrite the square root of the division $\sqrt{\frac{1}{3}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{3}}$.

$$229\times \frac{\sqrt{1}}{\sqrt{3}}$$

Calculate the square root of $1$ and get $1$.

$$229\times \frac{1}{\sqrt{3}}$$

Rationalize the denominator of $\frac{1}{\sqrt{3}}$ by multiplying numerator and denominator by $\sqrt{3}$.

$$229\times \frac{\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

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

$$229\times \frac{\sqrt{3}}{3}$$

Express $229\times \frac{\sqrt{3}}{3}$ as a single fraction.

$$\frac{229\sqrt{3}}{3}$$