Question

1. Which of the following is a rational number? (4 points)

197, 198, 199, 100
197
198
199
V100

Answer 1

100 is rational because can be expressed as the quotient of two integers

Answer 2

`the \: rational \: number \: is \: √(100)`

Explanation:

The reason why

`√(97)`

isn't a rational number is because, when simplified, it results in 9.848857802.... its decimal doesn't terminate(stop).

The reason why

`√(98)`

isn't a rational number is because, when simplified, it results in 9.899494937.... it's decimal doesn't terminate(stop).

The reason why

`√(99)`

isn't a rational number is because, when simplified, it results in 9.949874371.... it's decimal doesn't terminate(stop).

The reason why

`√(100)`

is a rational number is because, when simplified, it results in 10, its decimal terminates (stops).