How to solve (1)/(5sqrt(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 (1)/(5sqrt(5)) | Equatix

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Question

$$\frac{ 1 }{ 5 \sqrt{ 5 } }$$

Evaluate

$\frac{\sqrt{5}}{25}\approx 0.089442719$

Solution Steps

Rationalize the denominator of $\frac{1}{5\sqrt{5}}$ by multiplying numerator and denominator by $\sqrt{5}$.

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

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

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

Multiply $5$ and $5$ to get $25$.

$$\frac{\sqrt{5}}{25}$$

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