How to solve sqrt(6/790)

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(6/790) | Equatix

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$$\sqrt{ 6/790 }$$

$\frac{\sqrt{1185}}{395}\approx 0.087148934$

Reduce the fraction $\frac{6}{790}$ to lowest terms by extracting and canceling out $2$.

$$\sqrt{\frac{3}{395}}$$

Rewrite the square root of the division $\sqrt{\frac{3}{395}}$ as the division of square roots $\frac{\sqrt{3}}{\sqrt{395}}$.

$$\frac{\sqrt{3}}{\sqrt{395}}$$

Rationalize the denominator of $\frac{\sqrt{3}}{\sqrt{395}}$ by multiplying numerator and denominator by $\sqrt{395}$.

$$\frac{\sqrt{3}\sqrt{395}}{\left(\sqrt{395}\right)^{2}}$$

The square of $\sqrt{395}$ is $395$.

$$\frac{\sqrt{3}\sqrt{395}}{395}$$

To multiply $\sqrt{3}$ and $\sqrt{395}$, multiply the numbers under the square root.

$$\frac{\sqrt{1185}}{395}$$