To determine whether the number [tex]\(\sqrt{484}\)[/tex] is rational or irrational, let's follow these steps:
1. Calculate the Square Root:
[tex]\[
\sqrt{484} = 22
\][/tex]
2. Check if the Result is Rational:
A number is considered rational if it can be expressed as a ratio of two integers (i.e., in the form [tex]\(\frac{a}{b}\)[/tex] where [tex]\(a\)[/tex] and [tex]\(b\)[/tex] are integers and [tex]\(b \neq 0\)[/tex]). The number [tex]\(22\)[/tex] can be written as:
[tex]\[
22 = \frac{22}{1}
\][/tex]
Since both 22 and 1 are integers, [tex]\(22\)[/tex] is a rational number.
Therefore, the number is [tex]\(\boxed{\text{rational}}\)[/tex] because it [tex]\(\boxed{\text{can}}\)[/tex] be expressed as a ratio of two integers.
