How to solve -5sqrt((2)/(5))

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 -5sqrt((2)/(5)) | Equatix

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$$-5 \sqrt{ \frac{ 2 }{ 5 } }$$

$-\sqrt{10}\approx -3.16227766$

Rewrite the square root of the division $\sqrt{\frac{2}{5}}$ as the division of square roots $\frac{\sqrt{2}}{\sqrt{5}}$.

$$-5\times \frac{\sqrt{2}}{\sqrt{5}}$$

Rationalize the denominator of $\frac{\sqrt{2}}{\sqrt{5}}$ by multiplying numerator and denominator by $\sqrt{5}$.

$$-5\times \frac{\sqrt{2}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

The square of $\sqrt{5}$ is $5$.

$$-5\times \frac{\sqrt{2}\sqrt{5}}{5}$$

To multiply $\sqrt{2}$ and $\sqrt{5}$, multiply the numbers under the square root.

$$-5\times \frac{\sqrt{10}}{5}$$

Cancel out $5$ and $5$.

$$-\sqrt{10}$$