Question
Download Solution PDFWhat kind of number \(\frac{\pi}{2}\) is?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept -
Irrational Number -
irrational numbers are real numbers that cannot be expressed as a simple fraction. They have decimal representations that neither terminate nor repeat.
Examples include the square root of non-perfect squares like √2 or mathematical constants like π. These numbers extend infinitely without a pattern, distinguishing them from rational numbers, which can be expressed as fractions.
Explanation -
The number π/2 is an irrational number. It's the result of dividing the mathematical constant π (pi) by 2. Irrational numbers cannot be expressed as a simple fraction, and their decimal expansions neither terminate nor repeat. When π (approximately 3.14159) is divided by 2, the result is approximately 1.5708, but the decimal continues infinitely without a repeating pattern.
Hence option (2) is true.
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