Which of the following simplifies to 7?
Responses
3−10
3 minus 10
14−−√
square root of 14
−17 + 10
−17 + 10
49−−√
square root of 49
7 - (-10)
To determine which of the following simplifies to 7, we can go through each option:
1. 3 - 10:
To simplify 3 - 10, we subtract 10 from 3:
3 - 10 = -7
Therefore, 3 - 10 does not simplify to 7.
2. √14:
To simplify the square root of 14, we need to determine if any perfect squares can be extracted from 14. Since there are none, we cannot simplify the square root of 14.
3. -17 + 10:
To simplify -17 + 10, we add 10 to -17:
-17 + 10 = -7
Therefore, -17 + 10 does not simplify to 7.
4. √49:
To simplify the square root of 49, we can extract the perfect square of 49, which is 7:
√49 = 7
Therefore, √49 simplifies to 7.
In conclusion, the option that simplifies to 7 is √49.