What is the simplest form of the radical expression √(2 * 5 * 2 * 5)?

To simplify the radical expression √(2 * 5 * 2 * 5), we start by multiplying the values inside the square root. First, we can regroup the numbers:

√(2 * 2 * 5 * 5) = √(4 * 25)

Next, we calculate the products:

• 4 is a perfect square and equals 2²
• 25 is also a perfect square and equals 5²

This brings us to:

√(4 * 25) = √(2² * 5²)

Now, we can apply the square root property, which states that √(a²) = a:

√(2² * 5²) = 2 * 5 = 10

Therefore, the simplest form of the radical expression is:

10