Which of the following simplifies to 4?
Responses
4√
square root of 4
16−−√
square root of 16
12−−√
square root of 12
8√
square root of 8
The expression "square root of 16" simplifies to 4.
The expression that simplifies to 4 is the square root of 16, which is denoted as 16√.
To find which of the given expressions simplifies to 4, we need to evaluate each one and see if it equals 4.
1. 4√: This expression means the square root of 4. The square root of 4 is 2, not 4. So this expression does not simplify to 4.
2. √16: This expression means the square root of 16. The square root of 16 is 4, which is equal to 4. So this expression simplifies to 4.
3. √12: This expression means the square root of 12. The square root of 12 is approximately 3.464, not 4. So this expression does not simplify to 4.
4. 8√: This expression means the square root of 8. The square root of 8 is approximately 2.828, not 4. So this expression does not simplify to 4.
Therefore, the only expression that simplifies to 4 is the square root of 16, which is √16.