Solve 4sqrt(4\div446)\div4 | Equatix

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Question

$$4 \sqrt{ 4 \div 446 } \div 4$$

$\frac{\sqrt{446}}{223}\approx 0.094702745$

Cancel out $4$ and $4$.

$$\sqrt{\frac{4}{446}}$$

Reduce the fraction $\frac{4}{446}$ to lowest terms by extracting and canceling out $2$.

$$\sqrt{\frac{2}{223}}$$

Rewrite the square root of the division $\sqrt{\frac{2}{223}}$ as the division of square roots $\frac{\sqrt{2}}{\sqrt{223}}$.

$$\frac{\sqrt{2}}{\sqrt{223}}$$

Rationalize the denominator of $\frac{\sqrt{2}}{\sqrt{223}}$ by multiplying numerator and denominator by $\sqrt{223}$.

$$\frac{\sqrt{2}\sqrt{223}}{\left(\sqrt{223}\right)^{2}}$$

The square of $\sqrt{223}$ is $223$.

$$\frac{\sqrt{2}\sqrt{223}}{223}$$

To multiply $\sqrt{2}$ and $\sqrt{223}$, multiply the numbers under the square root.

$$\frac{\sqrt{446}}{223}$$