Question

Which of the following is an rational number?

A. The Square Root of 68
B. Pi
C. The Square Root of 144
D. The Square Root of 21

Answer 1

The correct answer Option C) is The Square Root of 144, because it is a perfect square that equals 12, which can be expressed as a fraction (12/1), making it a rational number. The other options are irrational numbers.

Step-by-step explanation:

To determine which of the following is a rational number, we need to consider what defines a number as rational. A rational number can be expressed as a fraction a/b, where a and b are integers, and b is not zero. Rational numbers include integers, fractions, and terminating or repeating decimals.

1. The Square Root of 68 is not a perfect square, so its square root is an irrational number.
2. Pi (π) is well-known to be irrational, as it cannot be expressed as a fraction and its decimal form is non-terminating and non-repeating.
3. The Square Root of 144 is 12, which is a perfect square and thus rational.
4. The Square Root of 21 is not a perfect square, so its square root is an irrational number.

Therefore, the correct answer is The Square Root of 144, since 12 is a rational number.