Answer :
The numbers that are irrational are: c. √121 (square root of 121)
An irrational number is a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.
a. 21.10675... is a rational number because it can be expressed as a terminating decimal or fraction.
b. 89 is a rational number because it can be expressed as a whole number or fraction.
c. √121 is an irrational number because the square root of a perfect square is always an integer, and 11 is an integer.
d. 0.011 is a rational number because it can be expressed as a fraction, in this case, 11/100.
Therefore, the only number among the given options that is irrational is √121 (square root of 121).
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