Classify $23$ as rational or irrational:

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Rational

Irrational

Both of these

None of the above

answer is B.

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Detailed Solution

Given number is

23

.
Rational numbers:
The numbers which can be expressed in the form of

p q

, where p, q integers, and q ≠ 0, are known as rational numbers.
The decimal expansion of irrational numbers is non terminating non-recurring (repeating).
Find the square root of √23:
√23 = 4.79583152331…
Applying the decimal expansion of real numbers:
The value of √23 is 4.79583152331.
Since the number is non-terminating non-recurring decimal expansion.
Hence, it is an irrational number.
Therefore, the correct option is 2.

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