# What is the square root of 32 over 4 expressed in simplest radical form?

1) $\frac{\sqrt{32}}{4} = \frac{\sqrt{4 \cdot 8}}{4} = \frac{\sqrt{4 \cdot 4 \cdot 2}}{4} = \sqrt{4} \sqrt{4} \frac{\sqrt{2}}{4} = 2 \cdot 2 \frac{\sqrt{2}}{4} = \frac{4}{4} \sqrt{2} = \sqrt{2}$
2) $\sqrt{{\cancel{32}}^{8} / \cancel{4}} = \sqrt{8} = \sqrt{4 \cdot 2} = \sqrt{4} \sqrt{2} = 2 \sqrt{2}$