Final answer:
B) Irrational, Integer, Whole, Real Rational, Real, Whole, Integer, The square root of 10 is an irrational and real number; it cannot be an integer, whole, or rational number because it can't be expressed as a simple fraction.
Step-by-step explanation:
The square root of 10, denoted as √10, cannot be expressed as a simple fraction and hence is an irrational number. This means that while √10 is a real number, it is not an integer, whole number, or rational number. Therefore, the names that apply to √10 are irrational and real.
The names that apply to V10 are: Rational, Real, Whole, Integer, and Irrational.An integer is a number that can be positive, negative, or zero, and does not include fractions or decimals. A whole number is a number that is positive or zero, and does not include negative numbers or fractions. A rational number is a number that can be written as a fraction, where both the numerator and denominator are integers. A real number is any number on the number line. And finally, an irrational number is a number that cannot be expressed as a fraction.