How to solve sqrt((225)/(50))

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((225)/(50)) | Equatix

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$$\sqrt{ \frac{ 225 }{ 50 } }$$

$\frac{3\sqrt{2}}{2}\approx 2.121320344$

Reduce the fraction $\frac{225}{50}$ to lowest terms by extracting and canceling out $25$.

$$\sqrt{\frac{9}{2}}$$

Rewrite the square root of the division $\sqrt{\frac{9}{2}}$ as the division of square roots $\frac{\sqrt{9}}{\sqrt{2}}$.

$$\frac{\sqrt{9}}{\sqrt{2}}$$

Calculate the square root of $9$ and get $3$.

$$\frac{3}{\sqrt{2}}$$

Rationalize the denominator of $\frac{3}{\sqrt{2}}$ by multiplying numerator and denominator by $\sqrt{2}$.

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

The square of $\sqrt{2}$ is $2$.

$$\frac{3\sqrt{2}}{2}$$