Final answer:
The expression √144 × 0.25, when evaluated, results in a rational number because √144 equals 12 and 12 × 0.25 equals 3, which is a rational number.
Step-by-step explanation:
The question is asking which expression, when evaluated, results in a rational number. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Let's evaluate each option:
- A) √144 × 0.25: The square root of 144 is 12 (since 12 × 12 = 144), and 12 × 0.25 equals 3, which is a rational number.
- B) √3 + 6: The square root of 3 is an irrational number, and adding 6 (a rational number) to it does not result in a rational number.
- C) √36 - π: The square root of 36 is 6, which is a rational number, but π is irrational, and subtracting it from 6 still results in an irrational number.
- D) √4 ÷ √2: The square root of 4 is 2, and the square root of 2 is an irrational number. Dividing 2 by an irrational number results in an irrational number.
Therefore, the expression √144 × 0.25 has a result that is a rational number.