To prove that \(\sqrt{4}\) is rational, we must show it can be expressed as a fraction \(\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q \neq 0\).Simplify the expression: By definition, the square root of 4 is the number that, when multiplied by itself, equals 4.\(2\times 2=4\)Therefore, \(\sqrt{4} = 2\).Express as a fraction: Any integer can be written as a fraction by using 1 as the denominator.\(2=\frac{2}{1}\)Conclusion: Since \(2\) and \(1\) are both integers and the denominator is not zero, \(\sqrt{4}\) fits the definition of a rational number.@Mosesayuka9880.
