Question

\(\dfrac{\sqrt{81}}{2}\) is:

• A. a rational number
• B. an irrational number
• C. an integer
• D. none of these

Hint:

If a number can be expressed in the form \(\dfrac{p}{q}\) (where \(p, q\) are integers and \(q\neq 0\)), it is a rational number even if it’s not an integer.

Answer 1

The Correct Option is A

Step 1: Simplify the given expression.
\(\sqrt{81} = 9\). Hence, \[ \dfrac{\sqrt{81}}{2} = \dfrac{9}{2}. \]
Step 2: Check the nature of the number.
\(\dfrac{9}{2}=4.5\). It is not an integer, but it can be expressed as a ratio of two integers, i.e., \(\dfrac{9}{2}\).
Step 3: Conclusion.
Hence, \(\dfrac{\sqrt{81}}{2}\) is a rational number.