Question

Which of the following list the sets and subsets that √146 belongs to?

A. Whole, Integer, Rational, and Real
B. Integer and Real
C. Irrational and Real
D. Rational and Real

Answer 1

C. Irrational and Real. The number √146 belongs to the sets of Irrational and Real numbers.

Step-by-step explanation:

The number √146 belongs to the set of Irrational numbers and the set of Real numbers.

To determine if √146 is an integer, rational, or irrational number, we need to find its value. Using a calculator, we find that √146 is approximately 12.0830459736. Since it is not a whole number or a fraction, it is irrational.

All irrational numbers are also real numbers, so √146 belongs to the sets of both irrational and real numbers.