Answer:
[tex]the \: rational \: number \: is \: \sqrt{100} [/tex]
Step-by-step explanation:
The reason why
[tex] \sqrt{97} [/tex]
isn't a rational number is because, when simplified, it results in 9.848857802.... its decimal doesn't terminate(stop).
The reason why
[tex] \sqrt{98} [/tex]
isn't a rational number is because, when simplified, it results in 9.899494937.... it's decimal doesn't terminate(stop).
The reason why
[tex] \sqrt{99} [/tex]
isn't a rational number is because, when simplified, it results in 9.949874371.... it's decimal doesn't terminate(stop).
The reason why
[tex] \sqrt{100} [/tex]
is a rational number is because, when simplified, it results in 10, its decimal terminates (stops).
