Final answer:
To determine which are integers, we look for whole numbers without fractions or decimals. Integers within the set {6, 0, √2, √64, &7, -146} are 6, 0, the square root of 64 (which is 8), and -146.
Step-by-step explanation:
The student is asking about identifying integers within a given set. The elements of the set are {6, 0, √2, √64, &7, -146}. To determine which are integers, we look for whole numbers without fractions or decimals.
- 6 is an integer because it is a whole number.
- 0 is also an integer as it represents a whole number with no fractional or decimal part.
- √2 is not an integer; it is an irrational number (approximately 1.414).
- √64 is an integer because the square root of 64 is 8, which is a whole number.
- &7 appears to be a typographical error but is not a recognizable integer.
- -146 is an integer as it represents a whole negative number.
The integers in the set are therefore 6, 0, √64 (which is 8), and -146.