Multiply Square Roots: Calculate √(2/4) × √(8/16)

Always simplify fractions first! Converting $\frac{2}{4}$ to $\frac{1}{2}$ and $\frac{8}{16}$ to $\frac{1}{2}$ makes the calculation much easier and reduces errors.

Yes! You could calculate $\sqrt{\frac{2}{4} \times \frac{8}{16}} = \sqrt{\frac{16}{64}} = \sqrt{\frac{1}{4}} = \frac{1}{2}$. However, simplifying fractions first usually makes the work easier.

Because both fractions simplify to $\frac{1}{2}$! Since $\frac{2}{4} = \frac{1}{2}$ and $\frac{8}{16} = \frac{1}{2}$, they have the same square root: $\sqrt{\frac{1}{2}} = \frac{1}{\sqrt{2}}$.

When you have $\frac{1}{\sqrt{2}} \times \frac{1}{\sqrt{2}}$, multiply the numerators (1 × 1 = 1) and denominators ($\sqrt{2} \times \sqrt{2} = 2$) to get $\frac{1}{2}$.

For this problem, $\frac{1}{2} = 0.5$ is correct too! However, fraction form is usually preferred in algebra unless specifically asked for a decimal.