C) √2 and D) π (pi) are irrational numbers.
An irrational number is a real number that cannot be expressed as a fraction of two integers and has a non-terminating, non-repeating decimal expansion. Among the options provided:
A) 3/4 is a rational number because it can be expressed as the fraction of two integers (3 and 4).
B) 74/99 is also a rational number since it can be written as the fraction of two integers (74 and 99).
C) √2 (square root of 2) is an example of an irrational number. The decimal expansion of √2 is non-terminating and non-repeating, and it cannot be expressed as a simple fraction.
D) π (pi) is another example of an irrational number. Pi is the ratio of the circumference of a circle to its diameter and has a decimal expansion that goes on forever without repeating.
Question: Which of the following is an example of an irrational number?
Options:
A) 3/4
B) 74/99
C) √2
D) π (pi)