To analyze the statement regarding the difference between 2 times the square root of 7 and the square root of 28, we need to first express these quantities mathematically:
Step 1: Calculate each expression.
- 2 times the square root of 7 is written as 2√7.
- The square root of 28 can be simplified: √28 = √(4 × 7) = √4 × √7 = 2√7.
Step 2: Compare the two expressions.
Now we can easily see that:
- 2√7 (which is the first expression) is equal to √28 (which simplifies to 2√7).
This means the difference between the two expressions, 2√7 – √28, can be calculated as follows:
- Difference: 2√7 – 2√7 = 0.
Conclusion:
The true statement regarding the difference between 2 times the square root of 7 and the square root of 28 is that they are equal, leading to a difference of 0.