An irrational number is a real number that cannot be expressed as a fraction of two integers and has a non-repeating, non-terminating decimal expansion.
Examples of irrational numbers include the square root of 2 (approximately 1.414), pi (approximately 3.14159), and the golden ratio (approximately 1.618).
Irrational numbers are important in mathematics and are often encountered in geometry, trigonometry, and other areas of mathematics.
It is important to note that not all real numbers are irrational; some real numbers, such as integers and fractions, are rational.
When performing arithmetic operations with irrational numbers, the result may also be irrational.
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