Which of the following is an irrational number: √25 pi or 0/27?
The irrational number among the options is √25 pi.
0/27 is equal to 0, which is a rational number.
Pi
Pi is an irrational number.
The given options are √25pi and 0/27. To determine whether they are irrational numbers or not, let's analyze each option separately:
1. √25π:
- The square root of 25 is 5, which is a rational number.
- π (pi) is an irrational number, since it cannot be expressed as a fraction or a repeating decimal.
Therefore, the product of a rational number (5) and an irrational number (π) is an irrational number.
Thus, √25π is an irrational number.
2. 0/27:
- Any number divided by zero is undefined, and 0 divided by any number (except zero) is zero.
Therefore, 0/27 is zero, which is a rational number.
In conclusion, out of the given options, √25π is an irrational number, while 0/27 is a rational number.