How to solve sqrt(1/5/6 imes2)

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 sqrt(1/5/6\times2) | Equatix

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$$\sqrt{ 1/5/6 \times 2 }$$

$\frac{\sqrt{15}}{15}\approx 0.25819889$

Express $\frac{\frac{1}{5}}{6}$ as a single fraction.

$$\sqrt{\frac{1}{5\times 6}\times 2}$$

Multiply $5$ and $6$ to get $30$.

$$\sqrt{\frac{1}{30}\times 2}$$

Multiply $\frac{1}{30}$ and $2$ to get $\frac{2}{30}$.

$$\sqrt{\frac{2}{30}}$$

Reduce the fraction $\frac{2}{30}$ to lowest terms by extracting and canceling out $2$.

$$\sqrt{\frac{1}{15}}$$

Rewrite the square root of the division $\sqrt{\frac{1}{15}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{15}}$.

$$\frac{\sqrt{1}}{\sqrt{15}}$$

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

$$\frac{1}{\sqrt{15}}$$

Rationalize the denominator of $\frac{1}{\sqrt{15}}$ by multiplying numerator and denominator by $\sqrt{15}$.

$$\frac{\sqrt{15}}{\left(\sqrt{15}\right)^{2}}$$

The square of $\sqrt{15}$ is $15$.

$$\frac{\sqrt{15}}{15}$$