Match the number with the correct description.

A. 0.424242424...
B. 0.789
C. 16−−√
D. 101−−−√
E. 0.133134135...
1. rational because the decimal repeats
2. rational because it is the square root of a perfect square
3. rational because the decimal does not terminate
4. irrational because the decimal repeats
5. irrational because the decimal is non-repeating
6. rational because the decimal terminates
7. irrational because it is the square root of a non-perfect square

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1 answer

A. 0.424242424... - 4. irrational because the decimal repeats
B. 0.789 - 6. rational because the decimal terminates
C. 16−−√ - 2. rational because it is the square root of a perfect square
D. 101−−−√ - 7. irrational because it is the square root of a non-perfect square
E. 0.133134135... - 5. irrational because the decimal is non-repeating
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