Question

Question and Task
The question asks, "What is the product of the following expression in simplest radical form?" The expression provided is
25 square root ⋅ square root 49

​
.

Answer 1

To simplify the expression \( 25 \sqrt{\,} \cdot \sqrt{49} \), we first need to evaluate each component separately.

1. **Evaluate \( \sqrt{49} \)**:
\[
\sqrt{49} = 7
\]

2. **Multiply 25 by \( \sqrt{49} \)**:
\[
25 \sqrt{49} = 25 \cdot 7
\]

3. **Calculate the multiplication**:
\[
25 \cdot 7 = 175
\]

Thus, the product of the expression \( 25 \sqrt{\,} \cdot \sqrt{49} \) in its simplest form is:
\[
\boxed{175}
\]