How to solve sqrt(1/678)

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.

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$$\sqrt{ 1/678 }$$

$\frac{\sqrt{678}}{678}\approx 0.038404769$

Rewrite the square root of the division $\sqrt{\frac{1}{678}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{678}}$.

$$\frac{\sqrt{1}}{\sqrt{678}}$$

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

$$\frac{1}{\sqrt{678}}$$

Rationalize the denominator of $\frac{1}{\sqrt{678}}$ by multiplying numerator and denominator by $\sqrt{678}$.

$$\frac{\sqrt{678}}{\left(\sqrt{678}\right)^{2}}$$

The square of $\sqrt{678}$ is $678$.

$$\frac{\sqrt{678}}{678}$$