Square Root Problem: Find the Approximate Value of √7650

$7650\approx\text{ ?}$

To solve this problem, let's follow a systematic approach:

• Step 1: Identify the number to be rounded, which is $7650$.
• Step 2: Determine whether we're rounding to the nearest 1,000. Given the problem and available choices, this seems the most logical interpretation.
• Step 3: Look at the hundreds digit of 7650. It is 6, since 7650 can be broken down into 7 (thousands), 6 (hundreds), 5 (tens), and 0 (units).
• Step 4: Since the hundreds digit is 6, which is 5 or greater, we round up to the next highest thousand.

Thus, rounding 7650 to the nearest 1,000 gives us $8000$.