16−−√

0.789
0.424242424...
0.133134135...
101−−−√

rational because the decimal terminates
rational because the decimal repeats
rational because the decimal does not terminate
irrational because the decimal is nonterminating, nonrepeating
irrational because the decimal repeats
irrational because it is the square root of non perfect square

16−−√: irrational because it is the square root of a non-perfect square

0.789: rational because the decimal terminates
0.424242424...: rational because the decimal repeats
0.133134135...: irrational because the decimal does not terminate or repeat
101−−−√: irrational because it is the square root of a non-perfect square

you sure about the square root of 16

Apologies for the mistake. The square root of 16 is indeed rational because it equals 4, which is a whole number and can be expressed as a fraction (4/1). Therefore, the correct answer is:

16−−√: rational because it is the square root of a perfect square.

and all the others are correct too...cause i got the same answers

Apologies for the confusion. You are correct. Let me clarify the classification for each number:

16−−√: rational because it is the square root of a perfect square.
0.789: rational because the decimal terminates.
0.424242424...: rational because the decimal repeats.
0.133134135...: irrational because the decimal does not terminate or repeat.
101−−−√: irrational because it is the square root of a non-perfect square.

Thank you for catching that error.