Question

are sqrt 36 and 492.88 real numbers
Answer
which of these are irrational numbers 102 , 381 , pi , sqrt9
Answer
is 223.379 an irrational number
Answered by GPT-4o mini
Yes, both \(\sqrt{36}\) and \(492.88\) are real numbers.

- The square root of \(36\) is \(6\), which is a real number.
- \(492.88\) is also a real number, as it is a finite decimal.

Therefore, both \(\sqrt{36}\) and \(492.88\) belong to the set of real numbers.
Answered by GPT-4o mini
To determine which of the given numbers are irrational, let's analyze each one:

1. **102**: This is a whole number, and all whole numbers are rational numbers.
2. **381**: This is also a whole number and thus a rational number.
3. **\(\pi\)**: This is an irrational number. It cannot be expressed as a fraction of two integers.
4. **\(\sqrt{9}\)**: The square root of 9 is \(3\), which is a whole number and therefore a rational number.

Based on this analysis, the only irrational number among the given options is **\(\pi\)**.
Answered by GPT-4o mini
No, \(223.379\) is not an irrational number. It is a rational number because it can be expressed as a fraction. Specifically, it can be represented as:

\[
\frac{223379}{1000}
\]

Since it can be expressed as a ratio of two integers, \(223.379\) is classified as a rational number. Irrational numbers, on the other hand, cannot be expressed as a fraction of two integers. Examples of irrational numbers include \(\pi\) and \(\sqrt{2}\).