Simplify the Radical Expression: (√10 × √30)/√100

To solve the problem $\frac{\sqrt{10} \cdot \sqrt{30}}{\sqrt{100}}$, we'll use the rules of square roots, specifically the multiplication and division properties.

Start by simplifying the numerator using the multiplication property of square roots:

• $\sqrt{10} \cdot \sqrt{30} = \sqrt{10 \times 30} = \sqrt{300}$

Next, we simplify the entire fraction using the division property of square roots:

• $\frac{\sqrt{300}}{\sqrt{100}} = \sqrt{\frac{300}{100}} = \sqrt{3}$

Thus, the simplified form of the expression $\frac{\sqrt{10} \cdot \sqrt{30}}{\sqrt{100}}$ is $\sqrt{3}$.

Therefore, the solution to the problem is $\sqrt{3}$.