Multiple choice

Which of the following has a non-terminating and non-repeating decimal expansion?

  1. $\frac{1}{7}$
  2. $\frac{\sqrt 7 \times \sqrt 7}{7}$
  3. $\sqrt 7$
  4. ($\sqrt 7$)2
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If a number has a non-terminating and non-repeating decimal expansion, then the number must be irrational. So,$\sqrt 7$ is an irrational number that has a non-terminating and non-repeating decimal expansion.