Square roots and irrational numbers practice which number is irrational
√2
To determine which number is irrational, you need to understand that an irrational number cannot be expressed as a fraction or a ratio of two integers. It is a non-repeating, non-terminating decimal.
Here are a few examples of irrational numbers:
1. √2: The square root of 2 is an irrational number because it cannot be expressed as a fraction. Its decimal representation is approximately 1.41421356.
2. π (pi): Pi is another famous irrational number. It represents the ratio of a circle's circumference to its diameter and has a decimal representation that starts with 3.14159 and goes on infinitely without repeating.
3. √3: The square root of 3 is another irrational number. Its decimal representation is approximately 1.73205081.
4. √5: The square root of 5 is also an irrational number, with a decimal representation of approximately 2.23606798.
These are just a few examples, and there are many more irrational numbers. It's important to note that any number that cannot be expressed as a fraction or a repeating decimal is considered an irrational number.