Question

22,894 Learners found this answer helpful

which of the following is an irrational number? a \\(sqrt{25}\\) b \\(sqrt{13}\\) c \\(4.2\\) d \\(\frac{1}{8}\\)

Explanation:

Step1: Evaluate Option A

$\sqrt{25} = 5$, which is an integer (rational).

Step2: Evaluate Option B

$\sqrt{13} \approx 3.6055...$, a non-terminating, non-repeating decimal (irrational).

Step3: Evaluate Option C

$4.2 = \frac{21}{5}$, a fraction of integers (rational).

Step4: Evaluate Option D

$\frac{1}{8} = 0.125$, a terminating decimal (rational).

Answer:

B. $\sqrt{13}$