Solve: Square Root Division Problem √100/(√25×√4)

To solve this problem, we will systematically apply the properties of square roots and perform the arithmetic operations:

• Step 1: Calculate $\sqrt{100}$.
• Step 2: Calculate the individual square roots $\sqrt{25}$ and $\sqrt{4}$, and then multiply them.
• Step 3: Divide the result from Step 1 by the product of Step 2.

Now, let's work through each step:

Step 1: The square root of 100 is 10, since $10 \times 10 = 100$. Therefore, $\sqrt{100} = 10$.

Step 2: Calculate $\sqrt{25}$ and $\sqrt{4}$. We know $\sqrt{25} = 5$ because $5 \times 5 = 25$, and $\sqrt{4} = 2$ because $2 \times 2 = 4$. Thus, the product is $\sqrt{25} \cdot \sqrt{4} = 5 \cdot 2 = 10$.

Step 3: Divide the result from Step 1 by the product from Step 2: $\frac{\sqrt{100}}{\sqrt{25} \cdot \sqrt{4}} = \frac{10}{10}$.

Therefore, the simplified expression is $1$.

As a result, the answer to the problem is $1$.