Which of the following is an irrational number: 25−−√, π, or 027?
The irrational number among the options given is π.
An irrational number is a number that cannot be expressed as a simple fraction and has an infinite number of non-repeating decimal places.
Out of the options you provided, 25−−√ and π are irrational numbers.
25−−√ is the square root of 25, which is 5. Since 5 is a rational number (it can be expressed as a simple fraction), 25−−√ is not an irrational number.
On the other hand, π (pi) is an irrational number. It is a mathematical constant that represents the ratio of a circle's circumference to its diameter. Its decimal representation goes on indefinitely without repeating any pattern.
Therefore, out of the options given, π is the only irrational number. 027 is a rational number because it can be expressed as the fraction 27/100.