Final answer:
The square root of 28 is an irrational number. Option (B) is correct.
Step-by-step explanation:
The square root of 28 is an irrational number. A rational number is a number that can be expressed as a fraction of two integers. However, √28 cannot be expressed as a fraction and it goes on indefinitely without repeating, making it an irrational number.
An irrational number is a real number that cannot be expressed as a ratio of integers; for example, √2 is an irrational number. We cannot express any irrational number in the form of a ratio, such as p/q, where p and q are integers, q≠0.
Real numbers can be defined as the union of both rational and irrational numbers. They can be both positive or negative and are denoted by the symbol “R”. The number 5 is present in the real numbers.
If a number has a terminating or repeating decimal, it is rational; for example, 1/2 = 0.5. If a number has a non-terminating and non-repeating decimal, it is irrational.
Irrational numbers are not rational—they are real numbers that we cannot write as a ratio pq (where p and q are integers, with q≠0). The reason we don't allow q=0 is because we cannot divide by zero. Also, irrational numbers can be positive or negative.