Question
Which of the following is rational?
(a) \( \sqrt{3} \)
(b) \( \pi \)
(c) \( \frac{4}{0} \)
(d) \( \frac{0}{4} \)
Solution
Option (a): \( \sqrt{3} \)
✘ Irrational
Square root of a non-perfect square is irrational.
Option (b): \( \pi \)
✘ Irrational
\( \pi \) is non-terminating and non-repeating.
Option (c): \( \frac{4}{0} \)
✘ Not defined
Division by zero is undefined, so it is not a rational number.
Option (d): \( \frac{0}{4} \)
✔ Rational
\[ \frac{0}{4} = 0 \] which is a rational number.
Final Answer
✔ Correct option: (d) \( \frac{0}{4} \)