Select the correct answer. Which number is an irrational number?
A. √100
B. 1/8
C. -2.2675
D. ∛16
D. ∛16
The correct answer is D. ∛16.
An irrational number is a number that cannot be expressed as a fraction, and its decimal representation goes on infinitely without repeating. The square root of 100 (√100) is a rational number because it can be expressed as 10, which is a whole number.
The fraction 1/8 is also a rational number because it can be expressed as 0.125, a decimal that terminates.
The number -2.2675 is a rational number because it can be expressed as a decimal that terminates.
On the other hand, ∛16 (the cube root of 16) is an irrational number because it cannot be expressed as a fraction, and its decimal representation goes on infinitely without repeating.