Question

Which number is rational? (1 point)
Responses

0.23242526...
0.23242526...

0.98989898...
0.98989898...

15−−√

square root of 15

2√4

the fraction with numerator square root of 2 and denominator 4
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Answer 1

0.98989898... is rational. It's a repeating decimal: let x = 0.\overline{98}. Then 100x = 98.\overline{98}, so 99x = 98 and x = 98/99.

(0.23242526... is nonrepeating, and √15 and (√2)/4 are irrational.)