How to solve 8sqrt(7/sqrt(4))

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 8sqrt(7/sqrt(4)) | Equatix

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$$8 \sqrt{ 7/ \sqrt{ 4 } }$$

$4\sqrt{14}\approx 14.966629547$

Calculate the square root of $4$ and get $2$.

$$8\sqrt{\frac{7}{2}}$$

Rewrite the square root of the division $\sqrt{\frac{7}{2}}$ as the division of square roots $\frac{\sqrt{7}}{\sqrt{2}}$.

$$8\times \frac{\sqrt{7}}{\sqrt{2}}$$

Rationalize the denominator of $\frac{\sqrt{7}}{\sqrt{2}}$ by multiplying numerator and denominator by $\sqrt{2}$.

$$8\times \frac{\sqrt{7}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

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

$$8\times \frac{\sqrt{7}\sqrt{2}}{2}$$

To multiply $\sqrt{7}$ and $\sqrt{2}$, multiply the numbers under the square root.

$$8\times \frac{\sqrt{14}}{2}$$

Cancel out $2$, the greatest common factor in $8$ and $2$.

$$4\sqrt{14}$$