Answer:
Closest to 7: √50
Explanation:
The most accurate approach to this problem would be to simplify each of the square roots by parting the numbers:
1. √50 = √2 * 5 * 5 = 5√2 (About 7.07)
2. √46 - Can't simplify, but is clearly less than √50, and thus less that 5√2 (About 6.78)
3. √51 - Can't simplify, but is clearly greater than √50, thus greater that 5√2 and farther away from 7 than 5√2 (About 7.14)
4. √47 - Can't simplify, but is greater than √46, making it close to 7, but not as close as 5√2 (About 6.85)
Closest to 7: √50